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100323553131990 = 23251125019908411
BaseRepresentation
bin10110110011111001100101…
…101111110011110111010110
3111011012211121220121122001200
4112303321211233303313112
5101122200114100210430
6553212000513133330
730063065112322116
oct2663714557636726
9434184556548050
10100323553131990
1129a69a8634a111
12b303462b5a246
1343c96167cc936
141aab9860a9046
15b8e9a4aee460
hex5b3e65bf3dd6

100323553131990 has 48 divisors (see below), whose sum is σ = 260843583036816. Its totient is φ = 26752707000000.

The previous prime is 100323553131979. The next prime is 100323553132073. The reversal of 100323553131990 is 99131355323001.

100323553131990 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 3 + 553 + 1 + 3 + 1 + 9 + 90 = 666.

It is a super-2 number, since 2×1003235531319902 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5170885 + ... + 15079295.

It is an arithmetic number, because the mean of its divisors is an integer number (5434241313267).

Almost surely, 2100323553131990 is an apocalyptic number.

100323553131990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100323553131990 is an abundant number, since it is smaller than the sum of its proper divisors (160520029904826).

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

100323553131990 is a wasteful number, since it uses less digits than its factorization.

100323553131990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020925 (or 10020922 counting only the distinct ones).

The product of its (nonzero) digits is 328050, while the sum is 45.

The spelling of 100323553131990 in words is "one hundred trillion, three hundred twenty-three billion, five hundred fifty-three million, one hundred thirty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 112501 225002 337503 562505 675006 1012509 1125010 1687515 2025018 3375030 5062545 9908411 10125090 19816822 29725233 49542055 59450466 89175699 99084110 148626165 178351398 297252330 445878495 891756990 1114706145911 2229412291822 3344118437733 5573530729555 6688236875466 10032355313199 11147061459110 16720592188665 20064710626398 33441184377330 50161776565995 100323553131990