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

bin | 1001100001100101011 |

3 | 120212010112 |

4 | 1030030223 |

5 | 34441412 |

6 | 10404535 |

7 | 2436635 |

oct | 1141453 |

9 | 525115 |

10 | 312107 |

11 | 1a3544 |

12 | 13074b |

13 | ac0a3 |

14 | 81a55 |

15 | 62722 |

hex | 4c32b |

312107 has 2 divisors, whose sum is σ = 312108. Its totient is φ = 312106.

The previous prime is 312101. The next prime is 312121. The reversal of 312107 is 701213.

It is an a-pointer prime, because the next prime (312121) can be obtained adding 312107 to its sum of digits (14).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312107 - 2^{6} = 312043 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 312091 and 312100.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 312107.

It is not a weakly prime, because it can be changed into another prime (312101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156053 + 156054.

It is an arithmetic number, because the mean of its divisors is an integer number (156054).

2^{312107} is an apocalyptic number.

312107 is a deficient number, since it is larger than the sum of its proper divisors (1).

312107 is an equidigital number, since it uses as much as digits as its factorization.

312107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 312107 is about 558.6653739046. The cubic root of 312107 is about 67.8319813849.

The spelling of 312107 in words is "three hundred twelve thousand, one hundred seven", and thus it is an iban number.

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