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102045879 = 3313307947
BaseRepresentation
bin1100001010100…
…01100010110111
321010000110122000
412011101202313
5202110432004
614043110343
72346242565
oct605214267
9233013560
10102045879
1152669641
122a2123b3
13181abaa0
14d7a4a35
158e5ac39
hex61518b7

102045879 has 32 divisors (see below), whose sum is σ = 163511040. Its totient is φ = 62526816.

The previous prime is 102045857. The next prime is 102045901. The reversal of 102045879 is 978540201.

It is an interprime number because it is at equal distance from previous prime (102045857) and next prime (102045901).

It is not a de Polignac number, because 102045879 - 211 = 102043831 is a prime.

It is a super-2 number, since 2×1020458792 = 20826722841765282, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102045079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107284 + ... + 108230.

It is an arithmetic number, because the mean of its divisors is an integer number (5109720).

Almost surely, 2102045879 is an apocalyptic number.

102045879 is a deficient number, since it is larger than the sum of its proper divisors (61465161).

102045879 is a wasteful number, since it uses less digits than its factorization.

102045879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102045879 is about 10101.7760319659. The cubic root of 102045879 is about 467.3029152010.

The spelling of 102045879 in words is "one hundred two million, forty-five thousand, eight hundred seventy-nine".

Divisors: 1 3 9 13 27 39 117 307 351 921 947 2763 2841 3991 8289 8523 11973 12311 25569 35919 36933 107757 110799 290729 332397 872187 2616561 3779477 7849683 11338431 34015293 102045879