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100010991621402 = 2321071361155924473
BaseRepresentation
bin10110101111010110011111…
…101000010001010100011010
3111010002221211221222202020200
4112233112133220101110122
5101102040002323341102
6552412225411203030
730031361414320551
oct2657263750212432
9433087757882220
10100010991621402
1129959472542004
12b2729728a6476
1343a5cc43c8a34
141a9a7b4940d98
15b867ae75651c
hex5af59fa1151a

100010991621402 has 96 divisors (see below), whose sum is σ = 219025673343360. Its totient is φ = 32978655144960.

The previous prime is 100010991621379. The next prime is 100010991621403. The reversal of 100010991621402 is 204126199010001.

It is a happy number.

100010991621402 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 99 + 162 + 1 + 402 = 666.

It is a super-2 number, since 2×1000109916214022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100010991621403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4086572638 + ... + 4086597110.

It is an arithmetic number, because the mean of its divisors is an integer number (2281517430660).

Almost surely, 2100010991621402 is an apocalyptic number.

100010991621402 is an abundant number, since it is smaller than the sum of its proper divisors (119014681721958).

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

100010991621402 is a wasteful number, since it uses less digits than its factorization.

100010991621402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 100010991621402 in words is "one hundred trillion, ten billion, nine hundred ninety-one million, six hundred twenty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1361 1559 1926 2722 3118 4083 4677 8166 9354 12249 14031 24473 24498 28062 48946 73419 145627 146838 166813 220257 291254 333626 436881 440514 500439 873762 1000878 1310643 1501317 2121799 2618611 2621286 3002634 4243598 5237222 6365397 7855833 12730794 15711666 19096191 23567499 33307753 38153407 38192382 47134998 66615506 76306814 99923259 114460221 199846518 227032493 228920442 299769777 343380663 454064986 599539554 681097479 686761326 1362194958 2043292437 3563929571 4082414549 4086584874 7127859142 8164829098 10691788713 12247243647 21383577426 24494487294 32075366139 36741730941 51926786927 64150732278 73483461882 103853573854 155780360781 311560721562 467341082343 934682164686 5556166201189 11112332402378 16668498603567 33336997207134 50005495810701 100010991621402