Base | Representation |
---|---|

bin | 1011111011110… |

… | …01001010011001 |

3 | 20222101011110212 |

4 | 11331321022121 |

5 | 201112023001 |

6 | 13533420505 |

7 | 2323633544 |

oct | 575711231 |

9 | 228334425 |

10 | 100111001 |

11 | 51567971 |

12 | 2963a735 |

13 | 179821a3 |

14 | d41d85b |

15 | 8bc77bb |

hex | 5f79299 |

100111001 has 2 divisors, whose sum is σ = 100111002. Its totient is φ = 100111000.

The previous prime is 100110991. The next prime is 100111003.

100111001 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75707401 + 24403600 = 8701^2 + 4940^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-100111001 is a prime.

Together with 100111003, it forms a pair of twin primes.

It is a Chen prime.

100111001 is a strobogrammatic number because it is the same when read upside-down.

It is not a weakly prime, because it can be changed into another prime (100111003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500 + 50055501.

It is an arithmetic number, because the mean of its divisors is an integer number (50055501).

Almost surely, 2^{100111001} is an apocalyptic number.

It is an amenable number.

100111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001 is an equidigital number, since it uses as much as digits as its factorization.

100111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 100111001 is about 10005.5485107014. The cubic root of 100111001 is about 464.3305601900.

The spelling of 100111001 in words is "one hundred million, one hundred eleven thousand, one".

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