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

bin | 111011110000… |

… | …1010001011001 |

3 | 2011221210121212 |

4 | 1313201101121 |

5 | 31010101132 |

6 | 3035312505 |

7 | 530212145 |

oct | 167412131 |

9 | 64853555 |

10 | 31331417 |

11 | 1675a837 |

12 | a5ab735 |

13 | 6650000 |

14 | 4238225 |

15 | 2b3d5b2 |

hex | 1de1459 |

31331417 has 10 divisors (see below), whose sum is σ = 33973218. Its totient is φ = 28894944.

The previous prime is 31331407. The next prime is 31331429. The reversal of 31331417 is 71413313.

It can be written as a sum of positive squares in 5 ways, for example, as 28847641 + 2483776 = 5371^2 + 1576^2 .

It is not a de Polignac number, because 31331417 - 2^{8} = 31331161 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 31331392 and 31331401.

It is not an unprimeable number, because it can be changed into a prime (31331407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28013 + ... + 29109.

It is a self-describing number.

Almost surely, 2^{31331417} is an apocalyptic number.

It is an amenable number.

31331417 is a deficient number, since it is larger than the sum of its proper divisors (2641801).

31331417 is an frugal number, since it uses more digits than its factorization.

31331417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1110 counting only the distinct ones).

The product of its digits is 756, while the sum is 23.

The square root of 31331417 is about 5597.4473646476. The cubic root of 31331417 is about 315.2535692372.

The spelling of 31331417 in words is "thirty-one million, three hundred thirty-one thousand, four hundred seventeen".

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