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

bin | 1100000010100… |

… | …10001101100000 |

3 | 21001001022222221 |

4 | 12001102031200 |

5 | 201324000112 |

6 | 14004440424 |

7 | 2334325510 |

oct | 601221540 |

9 | 231038887 |

10 | 101000032 |

11 | 52014901 |

12 | 299a9114 |

13 | 17c03a43 |

14 | d5b1840 |

15 | 8d00e07 |

hex | 6052360 |

101000032 has 24 divisors (see below), whose sum is σ = 227250576. Its totient is φ = 43285632.

The previous prime is 101000027. The next prime is 101000051. The reversal of 101000032 is 230000101.

Adding to 101000032 its reverse (230000101), we get a palindrome (331000133).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 100999979 and 101000024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225223 + ... + 225670.

It is an arithmetic number, because the mean of its divisors is an integer number (9468774).

Almost surely, 2^{101000032} is an apocalyptic number.

It is an amenable number.

101000032 is an abundant number, since it is smaller than the sum of its proper divisors (126250544).

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

101000032 is an equidigital number, since it uses as much as digits as its factorization.

101000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450910 (or 450902 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101000032 is about 10049.8772131803. The cubic root of 101000032 is about 465.7009999633.

The spelling of 101000032 in words is "one hundred one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 450893 901786 1803572 3156251 3607144 6312502 7214288 12625004 14428576 25250008 50500016 101000032

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