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

bin | 11001010000111000010010… |

… | …010011101111000111000111 |

3 | 112120102010012101010110212120 |

4 | 121100320102103233013013 |

5 | 104030421023421023421 |

6 | 1032151423443021023 |

7 | 32255340625240206 |

oct | 3120702223570707 |

9 | 476363171113776 |

10 | 111111111111111 |

11 | 32448a5961a441 |

12 | 105660b236a773 |

13 | 49cc96b008097 |

14 | 1d61b40d5d23d |

15 | cca3c589e8c6 |

hex | 650e124ef1c7 |

111111111111111 has 64 divisors (see below), whose sum is σ = 161484774162432. Its totient is φ = 67794900480000.

The previous prime is 111111111111053. The next prime is 111111111111229.

It can be divided in two parts, 1111111111111 and 11, that multiplied together give a palindrome (12222222222221).

111111111111111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 111111111111111 - 2^{7} = 111111111110983 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

111111111111111 is a strobogrammatic number because it is the same when read upside-down.

111111111111111 is a modest number, since divided by 11111111 gives 1111111 as remainder.

111111111111111 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111111111116111) by changing a digit.

It is a nontrivial repunit in base 10.

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 63 ways as a sum of consecutive naturals, for example, 36779871 + ... + 39686031.

It is an arithmetic number, because the mean of its divisors is an integer number (2523199596288).

Almost surely, 2^{111111111111111} is an apocalyptic number.

111111111111111 is a deficient number, since it is larger than the sum of its proper divisors (50373663051321).

111111111111111 is a wasteful number, since it uses less digits than its factorization.

111111111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906544.

The product of its digits is 1, while the sum is 15.

The spelling of 111111111111111 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 31 37 41 93 111 123 271 813 1147 1271 1517 3441 3813 4551 8401 10027 11111 25203 30081 33333 47027 141081 310837 344441 411107 932511 1033323 1233321 2906161 8718483 12744317 38232951 90090991 107527957 119152601 270272973 322583871 357457803 787569631 2362708893 3333366667 3693730631 4408646237 10000100001 11081191893 13225938711 24414658561 29140076347 32290354871 73243975683 87420229041 96871064613 136668033347 410004100041 903342366757 1001001001001 1194743130227 2710027100271 3003003003003 3584229390681 37037037037037 111111111111111

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