Digit Reversal Without Apology

In A Mathematician’s Apology [1] G. H. Hardy states, “8712 and 9801 are the only four-figure numbers which are integral multiples of their reversals”; and, he further comments that “this is not a serious theorem, as it is not capable of any significant generalization.” However, Hardy’s comment may have been short-sighted. In 1966, A. Sutcliffe [2] expanded this obscure fact about reversals. Instead of restricting his study to base 10 integers and their reversals, Sutcliffe generalized the problem to study all integer solutions of