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108131825214 = 23273129394483
BaseRepresentation
bin110010010110100101…
…0001011011000111110
3101100002220002212100100
41210231022023120332
53232423221401324
6121401452141530
710545415230510
oct1445512133076
9340086085310
10108131825214
1141949661806
1218b591678a6
13a27345a03a
14533b041bb0
152c2d0c44c9
hex192d28b63e

108131825214 has 96 divisors (see below), whose sum is σ = 277338507264. Its totient is φ = 29795843520.

The previous prime is 108131825209. The next prime is 108131825227. The reversal of 108131825214 is 412528131801.

It is a happy number.

108131825214 is a `hidden beast` number, since 1 + 0 + 81 + 318 + 252 + 14 = 666.

It is a super-2 number, since 2×1081318252142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097217 + ... + 1191699.

It is an arithmetic number, because the mean of its divisors is an integer number (2888942784).

Almost surely, 2108131825214 is an apocalyptic number.

108131825214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108131825214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138669253632).

108131825214 is an abundant number, since it is smaller than the sum of its proper divisors (169206682050).

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

108131825214 is a wasteful number, since it uses less digits than its factorization.

108131825214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94822 (or 94819 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 108131825214 in words is "one hundred eight billion, one hundred thirty-one million, eight hundred twenty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 293 434 558 586 651 879 1302 1758 1953 2051 2637 3906 4102 5274 6153 9083 12306 18166 18459 27249 36918 54498 63581 81747 94483 127162 163494 188966 190743 283449 381486 566898 572229 661381 850347 1144458 1322762 1700694 1984143 2928973 3968286 5857946 5952429 8786919 11904858 17573838 20502811 26360757 27683519 41005622 52721514 55367038 61508433 83050557 123016866 166101114 184525299 193784633 249151671 369050598 387569266 498303342 581353899 858189089 1162707798 1716378178 1744061697 2574567267 3488123394 5149134534 6007323623 7723701801 12014647246 15447403602 18021970869 36043941738 54065912607 108131825214