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213112331034012 = 22336075639576493
BaseRepresentation
bin110000011101001100010100…
…110010011101110110011100
31000221120100011202210100202000
4300131030110302131312130
5210413113023221042022
62033130241530002300
762613600142164204
oct6035142462356634
91027510152710660
10213112331034012
11619a4483050543
121ba9a720576390
1391bb539363b57
143a8a998659404
15199881a2c06ac
hexc1d314c9dd9c

213112331034012 has 96 divisors (see below), whose sum is σ = 553522789478400. Its totient is φ = 70907713523136.

The previous prime is 213112331033993. The next prime is 213112331034059. The reversal of 213112331034012 is 210430133211312.

213112331034012 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 2 + 3 + 310 + 340 + 1 + 2 = 666.

213112331034012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131123310340122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 369382038 + ... + 369958530.

It is an arithmetic number, because the mean of its divisors is an integer number (5765862390400).

Almost surely, 2213112331034012 is an apocalyptic number.

It is an amenable number.

213112331034012 is an abundant number, since it is smaller than the sum of its proper divisors (340410458444388).

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

213112331034012 is a wasteful number, since it uses less digits than its factorization.

213112331034012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582752 (or 582744 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213112331034012 its reverse (210430133211312), we get a palindrome (423542464245324).

The spelling of 213112331034012 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred thirty-one million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 607 1214 1821 2428 3642 5463 5639 7284 10926 11278 16389 16917 21852 22556 32778 33834 50751 65556 67668 101502 152253 203004 304506 576493 609012 1152986 1729479 2305972 3422873 3458958 5188437 6845746 6917916 10268619 10376874 13691492 15565311 20537238 20753748 30805857 31130622 41074476 61611714 62261244 92417571 123223428 184835142 349931251 369670284 699862502 1049793753 1399725004 2099587506 3149381259 3250844027 4199175012 6298762518 6501688054 9448143777 9752532081 12597525036 13003376108 18896287554 19505064162 29257596243 37792575108 39010128324 58515192486 87772788729 117030384972 175545577458 351091154916 1973262324389 3946524648778 5919786973167 7893049297556 11839573946334 17759360919501 23679147892668 35518721839002 53278082758503 71037443678004 106556165517006 213112331034012