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

bin | 101110110110100000… |

… | …0111111101010100000 |

3 | 100121200220112101222012 |

4 | 1131231000333222200 |

5 | 3122023441200440 |

6 | 114115430332052 |

7 | 10161201205562 |

oct | 1355500775240 |

9 | 317626471865 |

10 | 100613225120 |

11 | 397405a7221 |

12 | 175bb1ba028 |

13 | 9645888b45 |

14 | 4c2668b332 |

15 | 293cebae65 |

hex | 176d03faa0 |

100613225120 has 48 divisors (see below), whose sum is σ = 238360993920. Its totient is φ = 40133163264.

The previous prime is 100613225101. The next prime is 100613225131. The reversal of 100613225120 is 21522316001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818372 + ... + 933251.

It is an arithmetic number, because the mean of its divisors is an integer number (4965854040).

Almost surely, 2^{100613225120} is an apocalyptic number.

100613225120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100613225120 is an abundant number, since it is smaller than the sum of its proper divisors (137747768800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100613225120 is a wasteful number, since it uses less digits than its factorization.

100613225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751997 (or 1751989 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 100613225120 in words is "one hundred billion, six hundred thirteen million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 359 718 1436 1795 2872 3590 5744 7180 11488 14360 28720 57440 1751623 3503246 7006492 8758115 14012984 17516230 28025968 35032460 56051936 70064920 140129840 280259680 628832657 1257665314 2515330628 3144163285 5030661256 6288326570 10061322512 12576653140 20122645024 25153306280 50306612560 100613225120

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