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109823013085104 = 24331179687290021
BaseRepresentation
bin11000111110001000101001…
…101011101101111110110000
3112101211222101121102221121000
4120332020221223231332300
5103343320012322210404
61025323555024002000
732063310433541244
oct3076105153557660
9471758347387530
10109823013085104
1131aa17508964a0
1210398528a60300
13493835b973307
141d19668396424
15ca6b367d5339
hex63e229aedfb0

109823013085104 has 160 divisors (see below), whose sum is σ = 343895744263680. Its totient is φ = 33279168556800.

The previous prime is 109823013085103. The next prime is 109823013085169. The reversal of 109823013085104 is 401580310328901.

109823013085104 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 230 + 1 + 308 + 5 + 104 = 666.

It is a super-2 number, since 2×1098230130851042 (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 109823013085104.

It is not an unprimeable number, because it can be changed into a prime (109823013085103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378527614 + ... + 378817634.

It is an arithmetic number, because the mean of its divisors is an integer number (2149348401648).

Almost surely, 2109823013085104 is an apocalyptic number.

It is an amenable number.

109823013085104 is an abundant number, since it is smaller than the sum of its proper divisors (234072731178576).

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

109823013085104 is a wasteful number, since it uses less digits than its factorization.

109823013085104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369736 (or 369724 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 109823013085104 in words is "one hundred nine trillion, eight hundred twenty-three billion, thirteen million, eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 79687 159374 239061 290021 318748 478122 580042 637496 717183 870063 876557 956244 1160084 1274992 1434366 1740126 1753114 1912488 2151549 2320168 2610189 2629671 2868732 3190231 3480252 3506228 3824976 4303098 4640336 5220378 5259342 5737464 6380462 6960504 7012456 7830567 7889013 8606196 9570693 10440756 10518684 11474928 12760924 13921008 14024912 15661134 15778026 17212392 19141386 20881512 21037368 23667039 25521848 28712079 31322268 31556052 34424784 38282772 41763024 42074736 47334078 51043696 57424158 62644536 63112104 76565544 86136237 94668156 114848316 125289072 126224208 153131088 172272474 189336312 229696632 344544948 378672624 459393264 689089896 1378179792 23110903427 46221806854 69332710281 92443613708 138665420562 184887227416 207998130843 254219937697 277330841124 369774454832 415996261686 508439875394 554661682248 623994392529 762659813091 831992523372 1016879750788 1109323364496 1247988785058 1525319626182 1663985046744 2033759501576 2287979439273 2495977570116 3050639252364 3327970093488 4067519003152 4575958878546 4991955140232 6101278504728 6863938317819 9151917757092 9983910280464 12202557009456 13727876635638 18303835514184 27455753271276 36607671028368 54911506542552 109823013085104