I can't tell if this is a joke if if you're serious

Why do we care about base 10 ? Because we have five digits per appendage ? BFD. Accident of evolution.

What about palindromes in binary ? That's about as close to a mathematical ideal as we could get. Yes?

Let's see. decimal 11 = binary 1011, its palindrome = 1101 = decimal 13, GOLD!

If we allow non-decimal bases, (2^n)-1 works for a lot of memorable values of n (e.g. 2, 3, 5, 7... and 31, per the article), or some less memorable but very long values of n, like 136279841

They're all technically palindromes in base-2.