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

bin | 10110110000101001011111… |

… | …100000010100110100111010 |

3 | 111010102110212210011001001221 |

4 | 112300221133200110310322 |

5 | 101110020011142010020 |

6 | 552521204501502254 |

7 | 30040665021061213 |

oct | 2660513740246472 |

9 | 433373783131057 |

10 | 100100110110010 |

11 | 2999324460958a |

12 | b2880a441198a |

13 | 43b15276c8b2a |

14 | 1aa0c2a73640a |

15 | b88c785096aa |

hex | 5b0a5f814d3a |

100100110110010 has 16 divisors (see below), whose sum is σ = 180182678902272. Its totient is φ = 40039492776400.

The previous prime is 100100110109981. The next prime is 100100110110019. The reversal of 100100110110010 is 10011011001001.

Adding to 100100110110010 its reverse (10011011001001), we get a palindrome (110111121111011).

It is a happy number.

It is a super-2 number, since 2×100100110110010^{2} (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 100100110109975 and 100100110110002.

It is not an unprimeable number, because it can be changed into a prime (100100110110019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68145406 + ... + 69598825.

It is an arithmetic number, because the mean of its divisors is an integer number (11261417431392).

Almost surely, 2^{100100110110010} is an apocalyptic number.

100100110110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100110110010 is a deficient number, since it is larger than the sum of its proper divisors (80082568792262).

100100110110010 is a wasteful number, since it uses less digits than its factorization.

100100110110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137816909.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 100100110110010 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 5 10 72671 145342 363355 726710 137744231 275488462 688721155 1377442310 10010011011001 20020022022002 50050055055005 100100110110010

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