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

bin | 1111100101010… |

… | …00011110010001 |

3 | 100002221221012100 |

4 | 13302220132101 |

5 | 231430312424 |

6 | 20545351013 |

7 | 3145021614 |

oct | 762503621 |

9 | 302857170 |

10 | 130713489 |

11 | 67869a85 |

12 | 37938469 |

13 | 2110847a |

14 | 1350817b |

15 | b71edc9 |

hex | 7ca8791 |

130713489 has 27 divisors (see below), whose sum is σ = 195951483. Its totient is φ = 83963952.

The previous prime is 130713487. The next prime is 130713491. The reversal of 130713489 is 984317031.

It is a happy number.

The square root of 130713489 is 11433.

It is a perfect power (a square), and thus also a powerful number.

130713489 is a *`hidden beast`* number, since 1 + 307 + 1 + 348 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (130713487) and next prime (130713491).

It can be written as a sum of positive squares in only one way, i.e., 116964225 + 13749264 = 10815^2 + 3708^2 .

It is not a de Polignac number, because 130713489 - 2^{1} = 130713487 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130713487) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1269012 + ... + 1269114.

Almost surely, 2^{130713489} is an apocalyptic number.

130713489 is the 11433-rd square number.

130713489 is the 5717-th centered octagonal number.

It is an amenable number.

130713489 is a deficient number, since it is larger than the sum of its proper divisors (65237994).

130713489 is an equidigital number, since it uses as much as digits as its factorization.

130713489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 130713489 is about 507.5047783610.

Multiplying 130713489 by its sum of digits (36), we get a square (4705685604 = 68598^{2}).

The spelling of 130713489 in words is "one hundred thirty million, seven hundred thirteen thousand, four hundred eighty-nine".

Divisors: 1 3 9 37 103 111 309 333 927 1369 3811 4107 10609 11433 12321 31827 34299 95481 141007 392533 423021 1177599 1269063 3532797 14523721 43571163 130713489

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