Fix an integer g 2. A natural number n is called a palindrome in base g if its base g expansion reads the same forwards and backwards. Let s(n) = P d|n, d be thesum-of-proper-divisors function. We show that for almost all (that is, asymptotically 100% of) natural numbers n, s(n) is not a palindrome in base g. We also showhow to reach the same conclusion for several other commonly occurring arithmeticfunctions.
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机译：修复整数G 2.如果其基础G扩展读取相同的向前和向后，则自然数n称为基础g中的回文。让s（n）= p d | n，d是幂级数的函数。我们表明，对于几乎所有（即，渐近100％）的自然数N，S（n）不是基础g中的回文。我们还展示了几个常见的算法功能达到相同的结论。
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