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

bin | 1100000011010… |

… | …10101001000101 |

3 | 21001020102021012 |

4 | 12001222221011 |

5 | 201340200401 |

6 | 14010532005 |

7 | 2335223324 |

oct | 601525105 |

9 | 231212235 |

10 | 101100101 |

11 | 52083003 |

12 | 29a37005 |

13 | 17c3a45b |

14 | d5da0bb |

15 | 8d208bb |

hex | 606aa45 |

101100101 has 4 divisors (see below), whose sum is σ = 101335104. Its totient is φ = 100865100.

The previous prime is 101100089. The next prime is 101100113. The reversal of 101100101 is 101001101.

Adding to 101100101 its reverse (101001101), we get a palindrome (202101202).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 101001101 = 7573 ⋅13337.

It is an interprime number because it is at equal distance from previous prime (101100089) and next prime (101100113).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-101100101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100151) 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 3 ways as a sum of consecutive naturals, for example, 116855 + ... + 117716.

It is an arithmetic number, because the mean of its divisors is an integer number (25333776).

Almost surely, 2^{101100101} is an apocalyptic number.

It is an amenable number.

101100101 is a deficient number, since it is larger than the sum of its proper divisors (235003).

101100101 is an equidigital number, since it uses as much as digits as its factorization.

101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235002.

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

The square root of 101100101 is about 10054.8545986503. The cubic root of 101100101 is about 465.8547518979.

The spelling of 101100101 in words is "one hundred one million, one hundred thousand, one hundred one".

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