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

bin | 101110100100001110… |

… | …1101110100000000000 |

3 | 100120010011122100020201 |

4 | 1131020131232200000 |

5 | 3114300000000000 |

6 | 113534523014544 |

7 | 10140043655335 |

oct | 1351035564000 |

9 | 316104570221 |

10 | 100000000000 |

11 | 394564360aa |

12 | 1746996a454 |

13 | 957880c744 |

14 | 4ba906098c |

15 | 290423996a |

hex | 174876e800 |

100000000000 has 144 divisors (see below), whose sum is σ = 249938963820. Its totient is φ = 40000000000.

The previous prime is 99999999977. The next prime is 100000000003. The reversal of 100000000000 is 1.

It is a happy number.

It is a perfect power (a 11-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 6 ways, for example, as 14997431296 + 85002568704 = 122464^2 + 291552^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=10, B=10.

It is a Harshad number since it is a multiple of its sum of digits (1).

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (100000000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19999999998 + ... + 20000000002.

Almost surely, 2^{100000000000} is an apocalyptic number.

100000000000 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 100000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124969481910).

100000000000 is an abundant number, since it is smaller than the sum of its proper divisors (149938963820).

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

100000000000 is an frugal number, since it uses more digits than its factorization.

100000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 7 counting only the distinct ones).

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

The spelling of 100000000000 in words is "one hundred billion", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 10240 12500 12800 15625 16000 20000 25000 25600 31250 32000 40000 50000 51200 62500 64000 78125 80000 100000 125000 128000 156250 160000 200000 250000 256000 312500 320000 390625 400000 500000 625000 640000 781250 800000 1000000 1250000 1280000 1562500 1600000 1953125 2000000 2500000 3125000 3200000 3906250 4000000 5000000 6250000 6400000 7812500 8000000 9765625 10000000 12500000 15625000 16000000 19531250 20000000 25000000 31250000 32000000 39062500 40000000 48828125 50000000 62500000 78125000 80000000 97656250 100000000 125000000 156250000 160000000 195312500 200000000 250000000 312500000 390625000 400000000 500000000 625000000 781250000 800000000 1000000000 1250000000 1562500000 2000000000 2500000000 3125000000 4000000000 5000000000 6250000000 10000000000 12500000000 20000000000 25000000000 50000000000 100000000000

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