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

bin | 1001000110101010100100… |

… | …0011001111101110000001 |

3 | 1022102221211202222110120212 |

4 | 2101222221003033232001 |

5 | 2303001201130000001 |

6 | 33142325301243505 |

7 | 2052130600051046 |

oct | 221525103175601 |

9 | 38387752873525 |

10 | 10010110000001 |

11 | 320a29a14a721 |

12 | 1158039703595 |

13 | 577c4587b047 |

14 | 2686c5b271cd |

15 | 1255bc7cd7bb |

hex | 91aa90cfb81 |

10010110000001 has 4 divisors (see below), whose sum is σ = 10010389640004. Its totient is φ = 10009830360000.

The previous prime is 10010109999997. The next prime is 10010110000061. The reversal of 10010110000001 is 10000001101001.

Adding to 10010110000001 its reverse (10000001101001), we get a palindrome (20010111101002).

It can be divided in two parts, 10010 and 110000001, that added together give a palindrome (110010011).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1783424031601 + 8226685968400 = 1335449^2 + 2868220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010110000001 - 2^{2} = 10010109999997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10010110000001.

It is not an unprimeable number, because it can be changed into a prime (10010110000061) 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, 139766300 + ... + 139837901.

It is an arithmetic number, because the mean of its divisors is an integer number (2502597410001).

Almost surely, 2^{10010110000001} is an apocalyptic number.

It is an amenable number.

10010110000001 is a deficient number, since it is larger than the sum of its proper divisors (279640003).

10010110000001 is an equidigital number, since it uses as much as digits as its factorization.

10010110000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279640002.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10010110000001 in words is "ten trillion, ten billion, one hundred ten million, one", and thus it is an aban number.

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