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

bin | 101111000010000100… |

… | …0100111111011001001 |

3 | 100122200221101112122120 |

4 | 1132010020213323021 |

5 | 3123322240213001 |

6 | 114222124041453 |

7 | 10203621123213 |

oct | 1360410477311 |

9 | 318627345576 |

10 | 101001101001 |

11 | 3991a5410a9 |

12 | 176a9093289 |

13 | 96a8043ab8 |

14 | 4c61db75b3 |

15 | 2962087236 |

hex | 1784227ec9 |

101001101001 has 32 divisors (see below), whose sum is σ = 137586784896. Its totient is φ = 65894400000.

The previous prime is 101001100987. The next prime is 101001101021. The reversal of 101001101001 is 100101100101.

It is not a de Polignac number, because 101001101001 - 2^{9} = 101001100489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001101021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10196151 + ... + 10206051.

It is an arithmetic number, because the mean of its divisors is an integer number (4299587028).

Almost surely, 2^{101001101001} is an apocalyptic number.

It is an amenable number.

101001101001 is a deficient number, since it is larger than the sum of its proper divisors (36585683895).

101001101001 is a wasteful number, since it uses less digits than its factorization.

101001101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101001101001 its reverse (100101100101), we get a palindrome (201102201102).

The spelling of 101001101001 in words is "one hundred one billion, one million, one hundred one thousand, one".

Divisors: 1 3 101 131 257 303 393 771 9901 13231 25957 29703 33667 39693 77871 101001 1000001 1297031 2544557 3000003 3400367 3891093 7633671 10201101 131000131 257000257 333336967 393000393 771000771 1000010901 33667033667 101001101001

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