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100212330535425 = 325219221331059119
BaseRepresentation
bin10110110010010010000000…
…010111010001101000000001
3111010211012112121200022111100
4112302102000113101220001
5101113334323104113200
6553044524211005013
730052046654001153
oct2662220027215001
9433735477608440
10100212330535425
1129a268a106a119
12b2a59a2899769
1343bbc9cc29314
141aa6434792ad3
15b8bb45505d00
hex5b24805d1a01

100212330535425 has 72 divisors (see below), whose sum is σ = 188947050364800. Its totient is φ = 50631263084160.

The previous prime is 100212330535409. The next prime is 100212330535433. The reversal of 100212330535425 is 524535033212001.

100212330535425 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 23 + 30 + 53 + 542 + 5 = 666.

It is not a de Polignac number, because 100212330535425 - 24 = 100212330535409 is a prime.

It is a super-2 number, since 2×1002123305354252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100212330535425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94089016 + ... + 95148134.

It is an arithmetic number, because the mean of its divisors is an integer number (2624264588400).

Almost surely, 2100212330535425 is an apocalyptic number.

100212330535425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100212330535425 is a deficient number, since it is larger than the sum of its proper divisors (88734719829375).

100212330535425 is a wasteful number, since it uses less digits than its factorization.

100212330535425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081287 (or 1081279 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 100212330535425 its reverse (524535033212001), we get a palindrome (624747363747426).

The spelling of 100212330535425 in words is "one hundred trillion, two hundred twelve billion, three hundred thirty million, five hundred thirty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 475 855 1425 4275 22133 66399 110665 199197 331995 420527 553325 995985 1059119 1261581 1659975 2102635 3177357 3784743 4979925 5295595 6307905 9532071 10513175 15886785 18923715 20123261 26477975 31539525 47660355 60369783 79433925 94618575 100616305 181109349 238301775 301848915 503081525 905546745 1509244575 4527733725 23441480827 70324442481 117207404135 210973327443 351622212405 445388135713 586037020675 1054866637215 1336164407139 1758111062025 2226940678565 4008493221417 5274333186075 6680822035695 11134703392825 20042466107085 33404110178475 100212330535425