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

bin | 101110100111001111… |

… | …1011001001001000101 |

3 | 100120101012212202111220 |

4 | 1131032133121021011 |

5 | 3120001340200401 |

6 | 113552533550553 |

7 | 10142412211662 |

oct | 1351637311105 |

9 | 316335782456 |

10 | 100101100101 |

11 | 394a8509102 |

12 | 174977a5459 |

13 | 9593749ba2 |

14 | 4bb865aa69 |

15 | 290d05a336 |

hex | 174e7d9245 |

100101100101 has 32 divisors (see below), whose sum is σ = 137263583616. Its totient is φ = 64864800000.

The previous prime is 100101100091. The next prime is 100101100103. The reversal of 100101100101 is 101001101001.

It is not a de Polignac number, because 100101100101 - 2^{14} = 100101083717 is a prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 100101100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10105251 + ... + 10115151.

It is an arithmetic number, because the mean of its divisors is an integer number (4289486988).

Almost surely, 2^{100101100101} is an apocalyptic number.

It is an amenable number.

100101100101 is a deficient number, since it is larger than the sum of its proper divisors (37162483515).

100101100101 is a wasteful number, since it uses less digits than its factorization.

100101100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101100101 its reverse (101001101001), we get a palindrome (201102201102).

It can be divided in two parts, 10010 and 1100101, that added together give a palindrome (1110111).

The spelling of 100101100101 in words is "one hundred billion, one hundred one million, one hundred thousand, one hundred one".

Divisors: 1 3 61 101 183 303 547 1641 6161 9901 18483 29703 33367 55247 100101 165741 603961 1000001 1811883 3000003 3370067 5415847 10110201 16247541 61000061 183000183 330366667 547000547 991100001 1641001641 33367033367 100101100101

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