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

bin | 1001000110001000101010… |

… | …1101101100110101001000 |

3 | 1022102002100122210111122120 |

4 | 2101202022231230311020 |

5 | 2302324032320213000 |

6 | 33134222344251240 |

7 | 2051356243511523 |

oct | 221421255546510 |

9 | 38362318714576 |

10 | 10001011101000 |

11 | 320645004a187 |

12 | 115631a470b20 |

13 | 57712578143a |

14 | 2680a1529bba |

15 | 125238ab86a0 |

hex | 9188ab6cd48 |

10001011101000 has 64 divisors (see below), whose sum is σ = 31203154644480. Its totient is φ = 2666936292800.

The previous prime is 10001011100939. The next prime is 10001011101031. The reversal of 10001011101000 is 10111010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10001011101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666832184 + ... + 1666838183.

It is an arithmetic number, because the mean of its divisors is an integer number (487549291320).

Almost surely, 2^{10001011101000} is an apocalyptic number.

10001011101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001011101000 is an abundant number, since it is smaller than the sum of its proper divisors (21202143543480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10001011101000 is a wasteful number, since it uses less digits than its factorization.

10001011101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333670391 (or 3333670377 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001011101000 its reverse (10111010001), we get a palindrome (10011122111001).

Subtracting from 10001011101000 its reverse (10111010001), we obtain a palindrome (9990900090999).

The spelling of 10001011101000 in words is "ten trillion, one billion, eleven million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3333670367 6667340734 10001011101 13334681468 16668351835 20002022202 26669362936 33336703670 40004044404 50005055505 66673407340 80008088808 83341759175 100010111010 133346814680 166683518350 200020222020 250025277525 333367036700 400040444040 416708795875 500050555050 666734073400 833417591750 1000101110100 1250126387625 1666835183500 2000202220200 2500252775250 3333670367000 5000505550500 10001011101000

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