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102432434104314 = 232277123119018779
BaseRepresentation
bin10111010010100101101000…
…110110010010011111111010
3111102200110000110012222000100
4113102211220312102133322
5101411223111112314224
61001504451031220230
730401333130655236
oct2722455066223772
9442613013188010
10102432434104314
112a702395709a46
12b5a4112b17676
13452044c77a542
141b41a832895c6
15bc9781830ac9
hex5d2968d927fa

102432434104314 has 96 divisors (see below), whose sum is σ = 223061767568640. Its totient is φ = 33971492016000.

The previous prime is 102432434104271. The next prime is 102432434104411. The reversal of 102432434104314 is 413401434234201.

102432434104314 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 324 + 3 + 4 + 10 + 4 + 314 = 666.

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, 11667888777 + ... + 11667897555.

It is an arithmetic number, because the mean of its divisors is an integer number (2323560078840).

Almost surely, 2102432434104314 is an apocalyptic number.

102432434104314 is an abundant number, since it is smaller than the sum of its proper divisors (120629333464326).

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

102432434104314 is a wasteful number, since it uses less digits than its factorization.

102432434104314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 102432434104314 its reverse (413401434234201), we get a palindrome (515833868338515).

The spelling of 102432434104314 in words is "one hundred two trillion, four hundred thirty-two billion, four hundred thirty-four million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 277 554 831 1231 1662 1901 2462 2493 3693 3802 4986 5703 7386 8779 11079 11406 17109 17558 22158 26337 34218 52674 79011 158022 340987 526577 681974 1022961 1053154 1579731 2045922 2340131 2431783 3068883 3159462 4680262 4739193 4863566 6137766 7020393 7295349 9478386 10806949 14040786 14590698 16688879 21061179 21613898 21886047 32420847 33377758 42122358 43772094 50066637 64841694 97262541 100133274 150199911 194525082 300399822 648216287 1296432574 1944648861 2993524873 3889297722 4622819483 5833946583 5987049746 8980574619 9245638966 11667893166 13868458449 17961149238 20544010049 26941723857 27736916898 41088020098 41605375347 53883447714 61632030147 83210750694 123264060294 184896090441 369792180882 5690690783573 11381381567146 17072072350719 34144144701438 51216217052157 102432434104314