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

bin | 1100000010100… |

… | …10001110100101 |

3 | 21001001100002111 |

4 | 12001102032211 |

5 | 201324000401 |

6 | 14004441021 |

7 | 2334325636 |

oct | 601221645 |

9 | 231040074 |

10 | 101000101 |

11 | 52014964 |

12 | 299a9171 |

13 | 17c03a97 |

14 | d5b188d |

15 | 8d00e51 |

hex | 60523a5 |

101000101 has 6 divisors (see below), whose sum is σ = 102020306. Its totient is φ = 99990000.

The previous prime is 101000093. The next prime is 101000113.

101000101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 92179201 + 8820900 = 9601^2 + 2970^2 .

It is not a de Polignac number, because 101000101 - 2^{3} = 101000093 is a prime.

101000101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5251 + ... + 15151.

Almost surely, 2^{101000101} is an apocalyptic number.

It is an amenable number.

101000101 is a deficient number, since it is larger than the sum of its proper divisors (1020205).

101000101 is an frugal number, since it uses more digits than its factorization.

101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10103 (or 10002 counting only the distinct ones).

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

The square root of 101000101 is about 10049.8806460574. The cubic root of 101000101 is about 465.7011060140.

It can be divided in two parts, 101000 and 101, that added together give a palindrome (101101).

The spelling of 101000101 in words is "one hundred one million, one hundred one", and thus it is an aban number.

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