3 problems

A rational number $p/q$ has an antipalindromic quotient representation if there are antipalindromic numbers $A$ and $B$ such that $p/q=A/B$. Rational antipalindromic quotient conje…

Let $N$ be a natural number for which there exist antipalindromic numbers $A$ and $B$ with $N=A/B$, and measure the size of a solution by the length of the relevant base-$2$ repres…

Let $Q_{\rm anti}$ be the set of integers representable as quotients of binary antipalindromic numbers. Zero-density conjecture. The set $Q_{\rm anti}$ has natural density zero. Th…