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Palindromic number
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==Formal definition== Although palindromic numbers are most often considered in the [[decimal]] system, the concept of '''palindromicity''' can be applied to the [[natural numbers]] in any [[numeral system]]. Consider a number ''n'' > 0 in [[radix|base]] ''b'' β₯ 2, where it is written in standard notation with ''k''+1 [[numerical digit|digit]]s ''a''<sub>''i''</sub> as: :<math>n=\sum_{i=0}^ka_ib^i</math> with, as usual, 0 β€ ''a''<sub>''i''</sub> < ''b'' for all ''i'' and ''a''<sub>''k''</sub> β 0. Then ''n'' is palindromic if and only if ''a''<sub>''i''</sub> = ''a''<sub>''k''−''i''</sub> for all ''i''. [[0 (number)|Zero]] is written 0 in any base and is also palindromic by definition.
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