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``a note about 11| { }'' by perucho on 2006-09-08 15:32:05
Let k,n denote positive integer numbers. It is easy to see that the sequences a_k=10^{2k-1}+1 and b_n=10^{2n}-1 are divisible by 11. Hence 11|a_k+b_n. From this, it is easy to prove that 11 divides every even length palindromic number.
perucho
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