A palindrome is a number which reads the same backward or forward (e.g. 434, 87678, etc.). Could you prove that for any integer n (not divisible by 10) there is a palindrome divisible by n?
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I've checked for all numbers up to 162, it's true:
81* 12345679= 999999999
172839506*162=27999999972
Is there any simple proof for any integer?