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

bin | 10111001100011101010000… |

… | …101111111110001110011111 |

3 | 111101012011112120001100002000 |

4 | 113030131100233332032133 |

5 | 101332322234442001343 |

6 | 1000543132444133343 |

7 | 30326026503451353 |

oct | 2714352057761637 |

9 | 441164476040060 |

10 | 102011123000223 |

11 | 2a55a746566728 |

12 | b536532837253 |

13 | 44bc7b8c3c348 |

14 | 1b29516a2d463 |

15 | bbd824035ed3 |

hex | 5cc750bfe39f |

102011123000223 has 32 divisors (see below), whose sum is σ = 157699290355200. Its totient is φ = 65050185106368.

The previous prime is 102011123000209. The next prime is 102011123000233. The reversal of 102011123000223 is 322000321110201.

102011123000223 is a *`hidden beast`* number, since 1 + 0 + 201 + 11 + 230 + 0 + 0 + 223 = 666.

It is not a de Polignac number, because 102011123000223 - 2^{29} = 102010586129311 is a prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 102011123000196 and 102011123000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011123000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134139988 + ... + 134898326.

It is an arithmetic number, because the mean of its divisors is an integer number (4928102823600).

Almost surely, 2^{102011123000223} is an apocalyptic number.

102011123000223 is a deficient number, since it is larger than the sum of its proper divisors (55688167354977).

102011123000223 is a wasteful number, since it uses less digits than its factorization.

102011123000223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974988 (or 974982 counting only the distinct ones).

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

Adding to 102011123000223 its reverse (322000321110201), we get a palindrome (424011444110424).

The spelling of 102011123000223 in words is "one hundred two trillion, eleven billion, one hundred twenty-three million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 9 23 27 69 207 621 216617 649851 758339 1949553 2275017 4982191 5848659 6825051 14946573 17441797 20475153 44839719 52325391 134519157 156976173 470928519 164269119163 492807357489 1478422072467 3778189740749 4435266217401 11334569222247 34003707666741 102011123000223

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