# Divisible Palindromes

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Let n be the number of palindromes consisting only of 1s and 0s that have exactly 2014 digits and are divisible by 11. n can be expressed in the form $$a^b$$ where $$a,b \in \mathbb{N}$$ and $$a$$ is as small as possible but $$a \ne 1$$. Find $$\dfrac{b}{a}$$. $$\textbf{ Details and Assumptions }$$ Despite only consisting of 1s and 0s the palindromes are all in base 10

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