Number Theory Level 3

How many $$4$$ digit palindromes are divisible by $$7$$?

Details and assumptions

A palindrome is a number that is the same when its digits are reversed (i.e. $$232$$ is a palindrome).

The number $$10=010$$ 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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