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

bin | 10000001010110011011… |

… | …000100001000111000111 |

3 | 10221012222020120200202111 |

4 | 100022303120201013013 |

5 | 121201023421023421 |

6 | 2210234251121451 |

7 | 143163240420331 |

oct | 20126330410707 |

9 | 3835866520674 |

10 | 1111111111111 |

11 | 39924628a251 |

12 | 15b410a43287 |

13 | 80a14a36931 |

14 | 3bac701c451 |

15 | 1dd8118bee1 |

hex | 102b36211c7 |

1111111111111 has 8 divisors (see below), whose sum is σ = 1146405545280. Its totient is φ = 1076347420512.

The previous prime is 1111111111093. The next prime is 1111111111139.

It can be divided in two parts, 11111111111 and 11, that multiplied together give a palindrome (122222222221).

It is a happy number.

1111111111111 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1111111111111 - 2^{13} = 1111111102919 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.

1111111111111 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{1111111111110}.

It is a Duffinian number.

1111111111111 is a modest number, since divided by 1111111 gives 111111 as remainder.

1111111111111 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 junction number, because it is equal to *n*+sod(*n*) for *n* = 1111111111091 and 1111111111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111111118111) 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132681640 + ... + 132690013.

It is an arithmetic number, because the mean of its divisors is an integer number (143300693160).

Almost surely, 2^{1111111111111} is an apocalyptic number.

1111111111111 is a deficient number, since it is larger than the sum of its proper divisors (35294434169).

1111111111111 is an equidigital number, since it uses as much as digits as its factorization.

1111111111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265371785.

The product of its digits is 1, while the sum is 13.

The spelling of 1111111111111 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".

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