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100134708408 = 2334722075553
BaseRepresentation
bin101110101000001111…
…1100110010010111000
3100120110120010020110000
41131100133212102320
53120033441132113
6114000134153000
710143300656250
oct1352037462270
9316416106400
10100134708408
1139515483569
12174a6ab2760
13959a6b6367
144bbccc8960
152910e98373
hex17507e64b8

100134708408 has 80 divisors (see below), whose sum is σ = 320537044080. Its totient is φ = 28609915392.

The previous prime is 100134708361. The next prime is 100134708419. The reversal of 100134708408 is 804807431001.

100134708408 is a `hidden beast` number, since 100 + 1 + 3 + 470 + 84 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11033241 + ... + 11042312.

It is an arithmetic number, because the mean of its divisors is an integer number (4006713051).

Almost surely, 2100134708408 is an apocalyptic number.

100134708408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100134708408 is an abundant number, since it is smaller than the sum of its proper divisors (220402335672).

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

100134708408 is a wasteful number, since it uses less digits than its factorization.

100134708408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22075578 (or 22075565 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 100134708408 in words is "one hundred billion, one hundred thirty-four million, seven hundred eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 22075553 44151106 66226659 88302212 132453318 154528871 176604424 198679977 264906636 309057742 397359954 463586613 529813272 596039931 618115484 794719908 927173226 1192079862 1236230968 1390759839 1589439816 1788119793 1854346452 2384159724 2781519678 3576239586 3708692904 4172279517 4768319448 5563039356 7152479172 8344559034 11126078712 12516838551 14304958344 16689118068 25033677102 33378236136 50067354204 100134708408