In this problem, we consider integers consisting of 5 digits, of which the rst and last one are nonzero. We say that such an integer is a palindromic product if it satis es the following two conditions:
- the integer is a palindrome, (i.e. it doesn't matter if you read it from left to right, or the other way around);
- the integer is a product of two positive integers, of which the fi rst, when read from left to right, is equal to the second, when read from right to left, like 4831 and 1384.
For example, 20502 is a palindromic product, since 102ā
201=20502, and 20502 itself is a palindrome.
Determine all palindromic products of 5 digits. number theorypalindromesProduct