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102132312223302 = 23219596182976519
BaseRepresentation
bin10111001110001110001000…
…001100001010111001000110
3111101121202100102221201221200
4113032032020030022321012
5101341313433412121202
61001114534141523330
730340546623035424
oct2716161014127106
9441552312851850
10102132312223302
112a5a7085736739
12b555b14873546
1344cb0606167ba
141b31331c9c114
15bc1a685e8e1c
hex5ce38830ae46

102132312223302 has 96 divisors (see below), whose sum is σ = 240764670432000. Its totient is φ = 31185894525120.

The previous prime is 102132312223171. The next prime is 102132312223351. The reversal of 102132312223302 is 203322213231201.

102132312223302 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 323 + 1 + 2 + 2 + 2 + 330 + 2 = 666.

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, 40257402 + ... + 42719117.

It is an arithmetic number, because the mean of its divisors is an integer number (2507965317000).

Almost surely, 2102132312223302 is an apocalyptic number.

102132312223302 is an abundant number, since it is smaller than the sum of its proper divisors (138632358208698).

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

102132312223302 is a wasteful number, since it uses less digits than its factorization.

102132312223302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82976666 (or 82976663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102132312223302 its reverse (203322213231201), we get a palindrome (305454525454503).

The spelling of 102132312223302 in words is "one hundred two trillion, one hundred thirty-two billion, three hundred twelve million, two hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 59 61 114 118 122 171 177 183 342 354 366 531 549 1062 1098 1121 1159 2242 2318 3363 3477 3599 6726 6954 7198 10089 10431 10797 20178 20862 21594 32391 64782 68381 136762 205143 410286 615429 1230858 82976519 165953038 248929557 497859114 746788671 1493577342 1576553861 3153107722 4729661583 4895614621 5061567659 9459323166 9791229242 10123135318 14188984749 14686843863 15184702977 28377969498 29373687726 30369405954 44060531589 45554108931 88121063178 91108217862 93016677799 96169785521 186033355598 192339571042 279050033397 288509356563 298632491881 558100066794 577018713126 597264983762 837150100191 865528069689 895897475643 1674300200382 1731056139378 1791794951286 2687692426929 5375384853858 5674017345739 11348034691478 17022052037217 34044104074434 51066156111651 102132312223302