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103614112 = 257617583
BaseRepresentation
bin1100010110100…
…00011010100000
321012222010211201
412023100122200
5203011122422
614140450544
72365463650
oct613203240
9235863751
10103614112
115353a8a8
122a849a54
131860a834
14da92360
15916a727
hex62d06a0

103614112 has 48 divisors (see below), whose sum is σ = 236984832. Its totient is φ = 43672320.

The previous prime is 103614101. The next prime is 103614127. The reversal of 103614112 is 211416301.

It is a super-3 number, since 3×1036141123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103614112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9873 + ... + 17455.

It is an arithmetic number, because the mean of its divisors is an integer number (4937184).

Almost surely, 2103614112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103614112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118492416).

103614112 is an abundant number, since it is smaller than the sum of its proper divisors (133370720).

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

103614112 is an equidigital number, since it uses as much as digits as its factorization.

103614112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7653 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103614112 is about 10179.1017285417. The cubic root of 103614112 is about 469.6845808836.

The spelling of 103614112 in words is "one hundred three million, six hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6832 7583 13664 15166 30332 53081 60664 106162 121328 212324 242656 424648 462563 849296 925126 1698592 1850252 3237941 3700504 6475882 7401008 12951764 14802016 25903528 51807056 103614112