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103516112 = 2471019151
BaseRepresentation
bin1100010101110…
…00011111010000
321012210011102002
412022320133100
5203000003422
614134413132
72364605150
oct612703720
9235704362
10103516112
1153483207
122a8011a8
13185a504b
14da68760
15914b692
hex62b87d0

103516112 has 40 divisors (see below), whose sum is σ = 231508992. Its totient is φ = 43920000.

The previous prime is 103516073. The next prime is 103516141. The reversal of 103516112 is 211615301.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6737 + ... + 15887.

Almost surely, 2103516112 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 103516112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115754496).

103516112 is an abundant number, since it is smaller than the sum of its proper divisors (127992880).

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

103516112 is a wasteful number, since it uses less digits than its factorization.

103516112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 103516112 is about 10174.2868054719. The cubic root of 103516112 is about 469.5364556030.

The spelling of 103516112 in words is "one hundred three million, five hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 9151 11312 18302 36604 64057 73208 128114 146416 256228 512456 924251 1024912 1848502 3697004 6469757 7394008 12939514 14788016 25879028 51758056 103516112