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

bin | 10010101000001101… |

… | …10010011010101111 |

3 | 221210222122110000112 |

4 | 21110012302122233 |

5 | 130440224000421 |

6 | 4332220050235 |

7 | 502556045504 |

oct | 112406623257 |

9 | 27728573015 |

10 | 10001000111 |

11 | 4272338453 |

12 | 1b3139397b |

13 | c34c7a75b |

14 | 6ac3434ab |

15 | 3d800945b |

hex | 2541b26af |

10001000111 has 4 divisors (see below), whose sum is σ = 10056871800. Its totient is φ = 9945128424.

The previous prime is 10001000089. The next prime is 10001000123. The reversal of 10001000111 is 11100010001.

Adding to 10001000111 its reverse (11100010001), we get a palindrome (21101010112).

It can be divided in two parts, 100010001 and 11, that multiplied together give a palindrome (1100110011).

10001000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 10001000111 - 2^{22} = 9996805807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10001000095 and 10001000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001000011) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 27935576 + ... + 27935933.

It is an arithmetic number, because the mean of its divisors is an integer number (2514217950).

Almost surely, 2^{10001000111} is an apocalyptic number.

10001000111 is a deficient number, since it is larger than the sum of its proper divisors (55871689).

10001000111 is an equidigital number, since it uses as much as digits as its factorization.

10001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55871688.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10001000111 in words is "ten billion, one million, one hundred eleven", and thus it is an aban number.

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