A palindrome is a word or phrase that is spelled the same backward and forward, such as

"A man, a plan, a canal $-$ Panama!"

We can reger to natural numbers as palindromes as well, if the digits read forward are the

same as read backward, such as $14641$ or $999999.$ Are all palindrome numbers divisible by

$11?$ If so$,$ prove it$.$ If not, describe explicitly which ones are and which ones are not.

Solution: Solution goes here.