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100112214531744 = 2534115133556507
BaseRepresentation
bin10110110000110100110000…
…111111000001111010100000
3111010110122010100202101010000
4112300310300333001322200
5101110214303410003434
6552530525541340000
730041604001004412
oct2660646077017240
9433418110671100
10100112214531744
1129998396201808
12b28a502107600
1343b270639195c
141aa16581769b2
15b89236004b99
hex5b0d30fc1ea0

100112214531744 has 120 divisors (see below), whose sum is σ = 294683052077568. Its totient is φ = 33341744361600.

The previous prime is 100112214531739. The next prime is 100112214531761. The reversal of 100112214531744 is 447135412211001.

100112214531744 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 12 + 21 + 453 + 174 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100112214531699 and 100112214531708.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13794862 + ... + 19761645.

Almost surely, 2100112214531744 is an apocalyptic number.

It is an amenable number.

100112214531744 is an abundant number, since it is smaller than the sum of its proper divisors (194570837545824).

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

100112214531744 is a wasteful number, since it uses less digits than its factorization.

100112214531744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33557680 (or 33557663 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 100112214531744 its reverse (447135412211001), we get a palindrome (547247626742745).

The spelling of 100112214531744 in words is "one hundred trillion, one hundred twelve billion, two hundred fourteen million, five hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1151 1296 2302 2592 3453 4604 6906 9208 10359 13812 18416 20718 27624 31077 36832 41436 55248 62154 82872 93231 110496 124308 165744 186462 248616 331488 372924 497232 745848 994464 1491696 2983392 33556507 67113014 100669521 134226028 201339042 268452056 302008563 402678084 536904112 604017126 805356168 906025689 1073808224 1208034252 1610712336 1812051378 2416068504 2718077067 3221424672 3624102756 4832137008 5436154134 7248205512 9664274016 10872308268 14496411024 21744616536 28992822048 38623539557 43489233072 77247079114 86978466144 115870618671 154494158228 231741237342 308988316456 347611856013 463482474684 617976632912 695223712026 926964949368 1042835568039 1235953265824 1390447424052 1853929898736 2085671136078 2780894848104 3128506704117 3707859797472 4171342272156 5561789696208 6257013408234 8342684544312 11123579392416 12514026816468 16685369088624 25028053632936 33370738177248 50056107265872 100112214531744