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

bin | 1001000110000100111001… |

… | …1100101100011100010000 |

3 | 1022101222202012020202112202 |

4 | 2101201032130230130100 |

5 | 2302320000000310000 |

6 | 33133534145142332 |

7 | 2051322215415410 |

oct | 221411634543420 |

9 | 38358665222482 |

10 | 10000000010000 |

11 | 3205a81340590 |

12 | 115609792a9a8 |

13 | 576cc415cc40 |

14 | 268007132640 |

15 | 1251c9e45dd5 |

hex | 9184e72c710 |

10000000010000 has 800 divisors, whose sum is σ = 34218626534400. Its totient is φ = 2725643520000.

The previous prime is 10000000009969. The next prime is 10000000010047. The reversal of 10000000010000 is 1000000001.

Adding to 10000000010000 its reverse (1000000001), we get a palindrome (10001000010001).

Subtracting from 10000000010000 its reverse (1000000001), we obtain a palindrome (9999000009999).

10000000010000 divided by its reverse (1000000001) gives a 4-th power (10000 = 10^{4}).

It is a sliding number, since 10000000010000 = 10000 + 10000000000000 and 1/10000 + 1/10000000000000 = 0.00010000000010000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 190163711 + ... + 190216289.

It is an arithmetic number, because the mean of its divisors is an integer number (42773283168).

Almost surely, 2^{10000000010000} is an apocalyptic number.

10000000010000 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 10000000010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17109313267200).

10000000010000 is an abundant number, since it is smaller than the sum of its proper divisors (24218626524400).

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

10000000010000 is a wasteful number, since it uses less digits than its factorization.

10000000010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52657 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The spelling of 10000000010000 in words is "ten trillion, ten thousand".

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