Antipalindromic numbers | Zendy

Ľubomíra Dvořáková | Zendy; Stanislav Kruml | Zendy; David Ryzák | Zendy

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Antipalindromic numbers

Author(s) -

Ľubomíra Dvořáková,

Stanislav Kruml,

David Ryzák

Publication year - 2021

Publication title -

acta polytechnica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.207

H-Index - 15

eISSN - 1805-2363

pISSN - 1210-2709

DOI - 10.14311/ap.2021.61.0428

Subject(s) - palindrome , divisibility rule , integer (computer science) , base (topology) , mathematics , multiple , combinatorics , arithmetic , discrete mathematics , computer science , mathematical analysis , biochemistry , chemistry , crispr , gene , programming language

Everybody has certainly heard about palindromes: words that stay the same when read backwards. For instance, kayak, radar, or rotor. Mathematicians are interested in palindromic numbers: positive integers whose expansion in a certain integer base is a palindrome. The following problems are studied: palindromic primes, palindromic squares and higher powers, multi-base palindromic numbers, etc. In this paper, we define and study antipalindromic numbers: positive integers whose expansion in a certain integer base is an antipalindrome. We present new results concerning divisibility and antipalindromic primes, antipalindromic squares and higher powers, and multi-base antipalindromic numbers. We provide a user-friendly application for all studied questions.

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