Madam, I'm Adam

How many 44 digit palindromes are divisible by 77?

Details and assumptions

A palindrome is a number that is the same when its digits are reversed (i.e. 232232 is a palindrome).

The number 10=01010=010 is not considered a 3-digit palindrome. It only has 2 digits, and we ignore any 0's at the start.

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