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

bin | 11101000110110101001… |

… | …11001001111010110000 |

3 | 10112121102200210112120211 |

4 | 32203122213021322300 |

5 | 112341201112010000 |

6 | 2043234544113504 |

7 | 132153261446635 |

oct | 16433247117260 |

9 | 3477380715524 |

10 | 1000100110000 |

11 | 35615a492032 |

12 | 1419ab605894 |

13 | 73402c4a424 |

14 | 3659586618c |

15 | 1b03543d7ba |

hex | e8da9c9eb0 |

1000100110000 has 100 divisors (see below), whose sum is σ = 2443974359112. Its totient is φ = 396300928000.

The previous prime is 1000100109997. The next prime is 1000100110021. The reversal of 1000100110000 is 110010001.

Adding to 1000100110000 its reverse (110010001), we get a palindrome (1000210120001).

Subtracting from 1000100110000 its reverse (110010001), we obtain a palindrome (999990099999).

It can be divided in two parts, 10001001 and 10000, that added together give a palindrome (10011001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 602664 + ... + 1537336.

Almost surely, 2^{1000100110000} is an apocalyptic number.

1000100110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221987179556).

1000100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1443874249112).

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

1000100110000 is an equidigital number, since it uses as much as digits as its factorization.

1000100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934808 (or 934787 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The spelling of 1000100110000 in words is "one trillion, one hundred million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 625 856 1000 1070 1250 1712 2000 2140 2500 2675 4280 5000 5350 8560 10000 10700 13375 21400 26750 42800 53500 66875 107000 133750 214000 267500 535000 934673 1070000 1869346 3738692 4673365 7477384 9346730 14954768 18693460 23366825 37386920 46733650 74773840 93467300 100010011 116834125 186934600 200020022 233668250 373869200 400040044 467336500 500050055 584170625 800080088 934673000 1000100110 1168341250 1600160176 1869346000 2000200220 2336682500 2500250275 4000400440 4673365000 5000500550 8000800880 9346730000 10001001100 12501251375 20002002200 25002502750 40004004400 50005005500 62506256875 100010011000 125012513750 200020022000 250025027500 500050055000 1000100110000

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