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

bin | 100000110110000… |

… | …1011110111100000 |

3 | 2211210210120201000 |

4 | 1001230023313200 |

5 | 4224114230414 |

6 | 301205512000 |

7 | 36211466214 |

oct | 10154136740 |

9 | 2753716630 |

10 | 1102101984 |

11 | 516120595 |

12 | 269112600 |

13 | 147438669 |

14 | a6528944 |

15 | 66b4db09 |

hex | 41b0bde0 |

1102101984 has 96 divisors (see below), whose sum is σ = 3223493280. Its totient is φ = 366336000.

The previous prime is 1102101977. The next prime is 1102102007. The reversal of 1102101984 is 4891012011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344874 + ... + 348054.

It is an arithmetic number, because the mean of its divisors is an integer number (33578055).

Almost surely, 2^{1102101984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611746640).

1102101984 is an abundant number, since it is smaller than the sum of its proper divisors (2121391296).

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

1102101984 is a wasteful number, since it uses less digits than its factorization.

1102101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1102101984 is about 33197.9213807130. The cubic root of 1102101984 is about 1032.9372232267.

Adding to 1102101984 its reverse (4891012011), we get a palindrome (5993113995).

The spelling of 1102101984 in words is "one billion, one hundred two million, one hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 401 432 802 864 1203 1604 2406 3181 3208 3609 4812 6362 6416 7218 9543 9624 10827 12724 12832 14436 19086 19248 21654 25448 28629 28872 38172 38496 43308 50896 57258 57744 76344 85887 86616 101792 114516 115488 152688 171774 173232 229032 305376 343548 346464 458064 687096 916128 1275581 1374192 2551162 2748384 3826743 5102324 7653486 10204648 11480229 15306972 20409296 22960458 30613944 34440687 40818592 45920916 61227888 68881374 91841832 122455776 137762748 183683664 275525496 367367328 551050992 1102101984

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