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

bin | 101111000010000100… |

… | …0010001111110011100 |

3 | 100122200221012222022220 |

4 | 1132010020101332130 |

5 | 3123322224323400 |

6 | 114222122105340 |

7 | 10203620300133 |

oct | 1360410217634 |

9 | 318627188286 |

10 | 101001011100 |

11 | 3991a48a600 |

12 | 176a904b250 |

13 | 96a8011bc2 |

14 | 4c61d9291a |

15 | 296206a7a0 |

hex | 1784211f9c |

101001011100 has 108 divisors (see below), whose sum is σ = 321211154712. Its totient is φ = 24485084800.

The previous prime is 101001011087. The next prime is 101001011113. The reversal of 101001011100 is 1110100101.

It is an interprime number because it is at equal distance from previous prime (101001011087) and next prime (101001011113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1354899 + ... + 1427498.

Almost surely, 2^{101001011100} is an apocalyptic number.

101001011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001011100 is an abundant number, since it is smaller than the sum of its proper divisors (220210143612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001011100 is a wasteful number, since it uses less digits than its factorization.

101001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782436 (or 2782418 counting only the distinct ones).

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

Adding to 101001011100 its reverse (1110100101), we get a palindrome (102111111201).

The spelling of 101001011100 in words is "one hundred one billion, one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 2782397 5564794 8347191 11129588 13911985 16694382 27823970 30606367 33388764 41735955 55647940 61212734 69559925 83471910 91819101 122425468 139119850 153031835 166943820 183638202 208679775 278239700 306063670 336670037 367276404 417359550 459095505 612127340 673340074 765159175 834719100 918191010 1010010111 1346680148 1530318350 1683350185 1836382020 2020020222 2295477525 3060636700 3366700370 4040040444 4590955050 5050050555 6733400740 8416750925 9181910100 10100101110 16833501850 20200202220 25250252775 33667003700 50500505550 101001011100

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