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

bin | 10010110100000000… |

… | …11100010101100100 |

3 | 222001212221011110210 |

4 | 21122000130111210 |

5 | 131141100000400 |

6 | 4350114015420 |

7 | 505200404301 |

oct | 113200342544 |

9 | 28055834423 |

10 | 10100000100 |

11 | 4313206623 |

12 | 1b5a577570 |

13 | c4c631028 |

14 | 6bb5540a8 |

15 | 3e1a62950 |

hex | 25a01c564 |

10100000100 has 36 divisors (see below), whose sum is σ = 29222667824. Its totient is φ = 2693333280.

The previous prime is 10100000087. The next prime is 10100000111. The reversal of 10100000100 is 100000101.

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16833034 + ... + 16833633.

Almost surely, 2^{10100000100} is an apocalyptic number.

10100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100000100 is an abundant number, since it is smaller than the sum of its proper divisors (19122667724).

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

10100000100 is a wasteful number, since it uses less digits than its factorization.

10100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666684 (or 33666677 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10100000100 its reverse (100000101), we get a palindrome (10200000201).

Subtracting from 10100000100 its reverse (100000101), we obtain a palindrome (9999999999).

The spelling of 10100000100 in words is "ten billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 33666667 67333334 101000001 134666668 168333335 202000002 336666670 404000004 505000005 673333340 841666675 1010000010 1683333350 2020000020 2525000025 3366666700 5050000050 10100000100

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.131 sec. • engine limits •