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100135064404628 = 221119294130302937
BaseRepresentation
bin10110110001001010000010…
…111100011000001010010100
3111010112211002210211012000022
4112301022002330120022110
5101111103102441422003
6552545225153404312
730043343146504541
oct2661120274301224
9433484083735008
10100135064404628
11299a7051382480
12b292a1a569698
1343b49083090b6
141aa27c4b45bc8
15b89b2205c738
hex5b1282f18294

100135064404628 has 48 divisors (see below), whose sum is σ = 208167268075200. Its totient is φ = 41633453594880.

The previous prime is 100135064404607. The next prime is 100135064404673. The reversal of 100135064404628 is 826404460531001.

It is a super-2 number, since 2×1001350644046282 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 2065127225 + ... + 2065175712.

It is an arithmetic number, because the mean of its divisors is an integer number (4336818084900).

Almost surely, 2100135064404628 is an apocalyptic number.

It is an amenable number.

100135064404628 is an abundant number, since it is smaller than the sum of its proper divisors (108032203670572).

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

100135064404628 is a wasteful number, since it uses less digits than its factorization.

100135064404628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130303000 (or 4130302998 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 100135064404628 in words is "one hundred trillion, one hundred thirty-five billion, sixty-four million, four hundred four thousand, six hundred twenty-eight".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 4130302937 8260605874 16521211748 45433332307 78475755803 90866664614 119778785173 156951511606 181733329228 239557570346 313903023212 479115140692 863233313833 1317566636903 1726466627666 2275796918287 2635133273806 3452933255332 4551593836574 5270266547612 9103187673148 25033766101157 50067532202314 100135064404628