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100991694024 = 23331341985837
BaseRepresentation
bin101111000001110010…
…0101111010011001000
3100122200021200121201000
41132003210233103020
53123312333202044
6114221150255000
710203445143504
oct1360344572310
9318607617630
10100991694024
11399151a6541
12176a5ab7460
1396a60cc140
144c60a49304
152961329d69
hex178392f4c8

100991694024 has 128 divisors (see below), whose sum is σ = 302836464000. Its totient is φ = 30999843072.

The previous prime is 100991694019. The next prime is 100991694043. The reversal of 100991694024 is 420496199001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133634 + ... + 1219470.

It is an arithmetic number, because the mean of its divisors is an integer number (2365909875).

Almost surely, 2100991694024 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 100991694024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418232000).

100991694024 is an abundant number, since it is smaller than the sum of its proper divisors (201844769976).

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

100991694024 is a wasteful number, since it uses less digits than its factorization.

100991694024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86284 (or 86274 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 100991694024 in words is "one hundred billion, nine hundred ninety-one million, six hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 419 468 702 838 936 1257 1404 1676 2514 2808 3352 3771 5028 5447 7542 10056 10894 11313 15084 16341 21788 22626 30168 32682 43576 45252 49023 65364 85837 90504 98046 130728 147069 171674 196092 257511 294138 343348 392184 515022 588276 686696 772533 1030044 1115881 1176552 1545066 2060088 2231762 2317599 3090132 3347643 4463524 4635198 6180264 6695286 8927048 9270396 10042929 13390572 18540792 20085858 26781144 30128787 35965703 40171716 60257574 71931406 80343432 107897109 120515148 143862812 215794218 241030296 287725624 323691327 431588436 467554139 647382654 863176872 935108278 971073981 1294765308 1402662417 1870216556 1942147962 2589530616 2805324834 3740433112 3884295924 4207987251 5610649668 7768591848 8415974502 11221299336 12623961753 16831949004 25247923506 33663898008 50495847012 100991694024