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

bin | 100110011000… |

… | …0001000110000 |

3 | 1101212012121100 |

4 | 1030300020300 |

5 | 20122320422 |

6 | 1555124400 |

7 | 333006135 |

oct | 114601060 |

9 | 41765540 |

10 | 20120112 |

11 | 103a25a1 |

12 | 68a3700 |

13 | 4225cbc |

14 | 295a58c |

15 | 1b767ac |

hex | 1330230 |

20120112 has 60 divisors (see below), whose sum is σ = 59627880. Its totient is φ = 6311424.

The previous prime is 20120081. The next prime is 20120143. The reversal of 20120112 is 21102102.

It is an interprime number because it is at equal distance from previous prime (20120081) and next prime (20120143).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 20120094 and 20120103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 6557.

It is an arithmetic number, because the mean of its divisors is an integer number (993798).

Almost surely, 2^{20120112} is an apocalyptic number.

It is an amenable number.

20120112 is an abundant number, since it is smaller than the sum of its proper divisors (39507768).

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

20120112 is a wasteful number, since it uses less digits than its factorization.

20120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 20120112 is about 4485.5447829667. The cubic root of 20120112 is about 271.9840676942.

Adding to 20120112 its reverse (21102102), we get a palindrome (41222214).

The spelling of 20120112 in words is "twenty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 8219 16438 24657 32876 49314 65752 73971 98628 131504 139723 147942 197256 279446 295884 394512 419169 558892 591768 838338 1117784 1183536 1257507 1676676 2235568 2515014 3353352 5030028 6706704 10060056 20120112

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