# palindromic number

An integer $n$ that in a given base $b$ is a palindrome^{}. Given $n$ being $k$ digits ${d}_{x}$ long in base $b$, its value being

$$n=\sum _{i=0}^{k-1}{d}_{k}{b}^{i}$$ |

then if the equalities ${d}_{k}={d}_{1}$, ${d}_{k-1}={d}_{2}$, etc., hold, then $n$ is a palindromic number^{}. There are infinitely many palindromic numbers in any given base.

Title | palindromic number |
---|---|

Canonical name | PalindromicNumber |

Date of creation | 2013-03-22 15:55:27 |

Last modified on | 2013-03-22 15:55:27 |

Owner | CompositeFan (12809) |

Last modified by | CompositeFan (12809) |

Numerical id | 4 |

Author | CompositeFan (12809) |

Entry type | Definition |

Classification | msc 11A63 |