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102086343 = 32174359263
BaseRepresentation
bin1100001010110…
…11011011000111
321010002112010200
412011123123013
5202113230333
614044021543
72346501552
oct605333307
9233075120
10102086343
1152696a87
122a2318b3
13181c4328
14d7b5699
158e67c13
hex615b6c7

102086343 has 48 divisors (see below), whose sum is σ = 163088640. Its totient is φ = 61270272.

The previous prime is 102086333. The next prime is 102086371. The reversal of 102086343 is 343680201.

It is a happy number.

102086343 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 634 + 3 = 666.

It is not a de Polignac number, because 102086343 - 212 = 102082247 is a prime.

It is a super-2 number, since 2×1020863432 = 20843242854227298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102086323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388030 + ... + 388292.

It is an arithmetic number, because the mean of its divisors is an integer number (3397680).

Almost surely, 2102086343 is an apocalyptic number.

102086343 is a deficient number, since it is larger than the sum of its proper divisors (61002297).

102086343 is a wasteful number, since it uses less digits than its factorization.

102086343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102086343 is about 10103.7786495944. The cubic root of 102086343 is about 467.3646731951.

The spelling of 102086343 in words is "one hundred two million, eighty-six thousand, three hundred forty-three".

Divisors: 1 3 9 17 43 51 59 129 153 177 263 387 531 731 789 1003 2193 2367 2537 3009 4471 6579 7611 9027 11309 13413 15517 22833 33927 40239 43129 46551 101781 129387 139653 192253 263789 388161 576759 667231 791367 1730277 2001693 2374101 6005079 11342927 34028781 102086343