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113314816 = 210412699
BaseRepresentation
bin1101100000100…
…00110000000000
321220012222201001
412300100300000
5213002033231
615124421344
72544105616
oct660206000
9256188631
10113314816
1158a6610a
1231b47854
131a6260b4
14110996b6
159e34b61
hex6c10c00

113314816 has 44 divisors (see below), whose sum is σ = 232129800. Its totient is φ = 55255040.

The previous prime is 113314811. The next prime is 113314849. The reversal of 113314816 is 618413311.

It is a super-2 number, since 2×1133148162 = 25680495050227712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113314811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40635 + ... + 43333.

Almost surely, 2113314816 is an apocalyptic number.

113314816 is a gapful number since it is divisible by the number (16) 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 113314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064900).

113314816 is an abundant number, since it is smaller than the sum of its proper divisors (118814984).

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

113314816 is an equidigital number, since it uses as much as digits as its factorization.

113314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2742 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 113314816 is about 10644.9432126245. The cubic root of 113314816 is about 483.9073656470.

The spelling of 113314816 in words is "one hundred thirteen million, three hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2624 2699 5248 5398 10496 10796 20992 21592 41984 43184 86368 110659 172736 221318 345472 442636 690944 885272 1381888 1770544 2763776 3541088 7082176 14164352 28328704 56657408 113314816