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

bin | 11110111010000110101001 |

3 | 120020122021200 |

4 | 132322012221 |

5 | 4033233223 |

6 | 445354413 |

7 | 125603622 |

oct | 36720651 |

9 | 16218250 |

10 | 8102313 |

11 | 463442a |

12 | 2868a09 |

13 | 18a8b8b |

14 | 110ca49 |

15 | aa0a43 |

hex | 7ba1a9 |

8102313 has 12 divisors (see below), whose sum is σ = 11825268. Its totient is φ = 5345280.

The previous prime is 8102309. The next prime is 8102323. The reversal of 8102313 is 3132018.

It can be written as a sum of positive squares in 2 ways, for example, as 5631129 + 2471184 = 2373^2 + 1572^2 .

It is not a de Polignac number, because 8102313 - 2^{2} = 8102309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8102323) 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 11 ways as a sum of consecutive naturals, for example, 3768 + ... + 5513.

It is an arithmetic number, because the mean of its divisors is an integer number (985439).

Almost surely, 2^{8102313} is an apocalyptic number.

It is an amenable number.

8102313 is a deficient number, since it is larger than the sum of its proper divisors (3722955).

8102313 is a wasteful number, since it uses less digits than its factorization.

8102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8102313 is about 2846.4562178259. The cubic root of 8102313 is about 200.8489992352.

The spelling of 8102313 in words is "eight million, one hundred two thousand, three hundred thirteen".

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