Check if the product of digit sum and its reverse equals the number or not

Last Updated : 17 Feb, 2023

Given a number, check whether the product of digit sum and reverse of digit sum equals the number or not.
Examples:

Input : 1729
Output : Yes
Explanation: 
digit sum = 1 + 7 + 2 + 9
          = 19
Reverse of digit sum = 91
Product = digit sum * Reverse of digit sum
        = 19 * 91
        = 1729

Input : 2334
Output : No

Flowchart:

Approach :
1. Find the sum of digits of a given number.
2. Reverse the digit sum output.
3. Product of digit sum and reverse of digit sum.
If the product equals to the original number then print "Yes" else print "No".

C++

// CPP implementation to check if the
// product of digit sum and its 
// reverse equals the number or not
#include<bits/stdc++.h>
using namespace std;

// Function that returns number after 
// performing operations.
int check(int num)
{
    int digitSum = 0;
    
    // loop used to count digit sum
    // of numbers.
    while(num > 0)
    {
        digitSum = digitSum + num % 10;
        num = num / 10;
    }
    int temp = digitSum;
    int reverseDigitSum = 0;
    
    // loop that reverse digit sum.
    while(temp > 0)
    {
        int rem = temp % 10;
        reverseDigitSum = reverseDigitSum * 10
                        + rem;
        temp = temp / 10;
    }
    
    // product of digit sum and reverse digit
    // sum and assign it to number variables.
    int number = digitSum * reverseDigitSum;
    return number;
}

// Driver function
int main()
{
    int num = 1729;

    // call check() function.
    int x = check(num);

    // check if original number equals 
    // to x or not
    if (num == x)
        cout << "Yes";
    else
        cout << "No";
    return 0;
}

Java

// JAVA implementation to check if the
// product of digit sum and its 
// reverse equals the number or not
import java.io.*;
public class GFG {
     
    // Function that returns number after 
    // performing operations.
    static int check(int num)
    {
        int digitSum = 0;
         
        // loop used to count digit sum
        // of numbers.
        while(num > 0)
        {
            digitSum = digitSum + num % 10;
            num = num / 10;
        }
        int temp = digitSum;
        int reverseDigitSum = 0;
         
        // loop that reverse digit sum.
        while(temp > 0)
        {
            int rem = temp % 10;
            reverseDigitSum = reverseDigitSum * 10
                            + rem;
            temp = temp / 10;
        }
         
        // product of digit sum and reverse digit
        // sum and assign it to number variables.
        int number = digitSum * reverseDigitSum;
        return number;
    }
     
    // Driver function
    public static void main(String args[])
    {
        int num = 1729;
     
        // call check() function.
        int x = check(num);
     
        // check if original number equals 
        // to x or not
        if (num == x)
            System.out.println("Yes");
        else
           System.out.println("No");
    }
}

// This code is contributed by Nikita Tiwari

Python3

# Python implementation to check if the
# product of digit sum and its 
# reverse equals the number or not


# Function that returns number after 
# performing operations.
def check(num) :
    digitSum = 0
    
    # loop used to count digit sum
    # of numbers.
    while(num != 0) :
        digitSum = digitSum + num % 10
        num = num // 10
    
    temp = (int)(digitSum)
    reverseDigitSum = 0
          
    # loop that reverse digit sum.
    while(temp != 0) :
        rem = temp % 10
        reverseDigitSum = reverseDigitSum * 10 + rem
        temp = temp // 10
            
    # product of digit sum and reverse digit
    # sum and assign it to number variables.
    number = digitSum * reverseDigitSum
    return number
    
# Driver function
num = 1729

# call check() function.
x = (check(num))

# check if original number  
# equals to x or not
if (num == x) :
    print("Yes")
else :
    print("No")
    
    
# This code is contributed by Nikita Tiwari.

// Code to check if the product
// of digit sum and its reverse
// equals the number or not
using System;

class GFG {

    // Function that returns number
    // after performing operations.
    static int check(int num)
    {
        int digitSum = 0;

        // loop used to count digit
        // sum of numbers.
        while (num > 0) {
            digitSum = digitSum + num % 10;
            num = num / 10;
        }

        int temp = digitSum;
        int reverseDigitSum = 0;

        // loop that reverse digit sum.
        while (temp > 0) {
            int rem = temp % 10;
            reverseDigitSum = reverseDigitSum * 10
                              + rem;
            temp = temp / 10;
        }

        // product of digit sum and
        // reverse digit sum, assign
        // it to number variables.
        int number = digitSum * reverseDigitSum;
        return number;
    }

    // Driver function
    public static void Main()
    {
        int num = 1729;

        // call check() function.
        int x = check(num);

        // check if original number
        // equals to x or not
        if (num == x)
            Console.WriteLine("Yes");
        else
            Console.WriteLine("No");
    }
}

// This code is contributed by Anant Agarwal.

PHP

<?php
// PHP implementation to check if the
// product of digit sum and its 
// reverse equals the number or not

// Function that returns number  
// after performing operations.
function check($num)
{
    $digitSum = 0;
    
    // loop used to count 
    // digit sum of numbers.
    while($num > 0)
    {
        $digitSum = $digitSum + 
                    $num % 10;
        $num = (int)($num / 10);
    }
    $temp = $digitSum;
    $reverseDigitSum = 0;
    
    // loop that reverse 
    // digit sum.
    while($temp > 0)
    {
        $rem = $temp % 10;
        $reverseDigitSum = $reverseDigitSum * 
                                   10 + $rem;
        $temp = (int)($temp / 10);
    }
    
    // product of digit sum 
    // and reverse digit
    // sum and assign it
    // to number variables.
    $number = $digitSum * $reverseDigitSum;
    return $number;
}

// Driver Code
$num = 1729;

// call check() function.
$x = check($num);

// check if original
// number equals 
// to x or not
if ($num == $x)
echo("Yes");
else
    echo("No");

// This code is contributed by Ajit.
?>

JavaScript

<script>

      // JavaScript implementation to check if the
      // product of digit sum and its
      // reverse equals the number or not

      // Function that returns number after
      // performing operations.
      function check(num)
      {
        var digitSum = 0;

        // loop used to count digit sum
        // of numbers.
        while (num > 0) {
          digitSum = digitSum + (num % 10);
          num = parseInt(num / 10);
        }
        var temp = digitSum;
        var reverseDigitSum = 0;

        // loop that reverse digit sum.
        while (temp > 0) {
          var rem = temp % 10;
          reverseDigitSum = 
          reverseDigitSum * 10 + rem;
          temp = parseInt(temp / 10);
        }

        // product of digit sum and reverse digit
        // sum and assign it to number variables.
        var number = digitSum * reverseDigitSum;
        return number;
      }

      // Driver function
      var num = 1729;

      // call check() function.
      var x = check(num);

      // check if original number equals
      // to x or not
      if (num == x) document.write("Yes");
      else document.write("No");
      
 </script>

Output

Yes

Time Complexity: O(log₁₀(num))
Auxiliary Space: 1

Check if a number with even number of digits is palindrome or not

Dharmendra kumar

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Check if the product of digit sum and its reverse equals the number or not

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