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

bin | 1001000110001100110011… |

… | …0111101000110010000000 |

3 | 1022102012020000021022202011 |

4 | 2101203030313220302000 |

5 | 2302333320434031422 |

6 | 33134524433302304 |

7 | 2051425611513031 |

oct | 221431467506200 |

9 | 38365200238664 |

10 | 10002121002112 |

11 | 320696a607328 |

12 | 115658a104994 |

13 | 5772716ba965 |

14 | 268168ac4a88 |

15 | 1252a1258077 |

hex | 918ccde8c80 |

10002121002112 has 32 divisors (see below), whose sum is σ = 19945616953500. Its totient is φ = 4996162237440.

The previous prime is 10002121001987. The next prime is 10002121002113. The reversal of 10002121002112 is 21120012120001.

Adding to 10002121002112 its reverse (21120012120001), we get a palindrome (31122133122113).

It can be written as a sum of positive squares in 2 ways, for example, as 8910798129216 + 1091322872896 = 2985096^2 + 1044664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 10002121002092 and 10002121002101.

It is not an unprimeable number, because it can be changed into a prime (10002121002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38136487 + ... + 38397862.

Almost surely, 2^{10002121002112} is an apocalyptic number.

It is an amenable number.

10002121002112 is a deficient number, since it is larger than the sum of its proper divisors (9943495951388).

10002121002112 is an equidigital number, since it uses as much as digits as its factorization.

10002121002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76535384 (or 76535372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The spelling of 10002121002112 in words is "ten trillion, two billion, one hundred twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 1021 2042 4084 8168 16336 32672 65344 130688 76534349 153068698 306137396 612274792 1224549584 2449099168 4898198336 9796396672 78141570329 156283140658 312566281316 625132562632 1250265125264 2500530250528 5001060501056 10002121002112

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