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132132100230990 = 23252967755601877
BaseRepresentation
bin11110000010110001100110…
…111001011100111101001110
3122022211201001020202011122200
4132002301212321130331032
5114304323020124342430
61145004352053222330
736555141422512356
oct3602614671347516
9568751036664580
10132132100230990
11391129aa9a3832
12129a01050319a6
135896007b600c2
14248b329023b66
1510420d499a460
hex782c66e5cf4e

132132100230990 has 96 divisors (see below), whose sum is σ = 360694112482080. Its totient is φ = 33512454404352.

The previous prime is 132132100230989. The next prime is 132132100231031. The reversal of 132132100230990 is 99032001231231.

132132100230990 is a `hidden beast` number, since 1 + 3 + 21 + 321 + 0 + 0 + 2 + 309 + 9 + 0 = 666.

It is a super-2 number, since 2×1321321002309902 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377626069 + ... + 377975808.

It is an arithmetic number, because the mean of its divisors is an integer number (3757230338355).

Almost surely, 2132132100230990 is an apocalyptic number.

132132100230990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132132100230990 is an abundant number, since it is smaller than the sum of its proper divisors (228562012251090).

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

132132100230990 is a wasteful number, since it uses less digits than its factorization.

132132100230990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755601986 (or 755601983 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 132132100230990 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, one hundred million, two hundred thirty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 1005 1206 1305 1943 2010 2610 3015 3886 5829 6030 9715 11658 17487 19430 29145 34974 58290 87435 174870 755601877 1511203754 2266805631 3778009385 4533611262 6800416893 7556018770 11334028155 13600833786 21912454433 22668056310 34002084465 43824908866 50625325759 65737363299 68004168930 101250651518 109562272165 131474726598 151875977277 197212089897 219124544330 253126628795 303751954554 328686816495 394424179794 455627931831 506253257590 657373632990 759379886385 911255863662 986060449485 1468134447011 1518759772770 1972120898970 2278139659155 2936268894022 4404403341033 4556279318310 7340672235055 8808806682066 13213210023099 14681344470110 22022016705165 26426420046198 44044033410330 66066050115495 132132100230990