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113102568 = 2334347503
BaseRepresentation
bin1101011110111…
…00111011101000
321212211012120000
412233130323220
5212423240233
615120103000
72542233045
oct657347350
9255735500
10113102568
11589306a7
1231a64a60
131a5805c7
14110421cc
159de1d13
hex6bdcee8

113102568 has 80 divisors (see below), whose sum is σ = 318336480. Its totient is φ = 37517472.

The previous prime is 113102557. The next prime is 113102579. The reversal of 113102568 is 865201311.

It is an interprime number because it is at equal distance from previous prime (113102557) and next prime (113102579).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 224605 + ... + 225107.

It is an arithmetic number, because the mean of its divisors is an integer number (3979206).

Almost surely, 2113102568 is an apocalyptic number.

113102568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113102568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159168240).

113102568 is an abundant number, since it is smaller than the sum of its proper divisors (205233912).

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

113102568 is a wasteful number, since it uses less digits than its factorization.

113102568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 113102568 is about 10634.9691113797. The cubic root of 113102568 is about 483.6050440028.

Adding to 113102568 its reverse (865201311), we get a palindrome (978303879).

The spelling of 113102568 in words is "one hundred thirteen million, one hundred two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 347 503 648 694 1006 1041 1388 1509 2012 2082 2776 3018 3123 4024 4164 4527 6036 6246 8328 9054 9369 12072 12492 13581 18108 18738 24984 27162 28107 36216 37476 40743 54324 56214 74952 81486 108648 112428 162972 174541 224856 325944 349082 523623 698164 1047246 1396328 1570869 2094492 3141738 4188984 4712607 6283476 9425214 12566952 14137821 18850428 28275642 37700856 56551284 113102568