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100286112 = 2536071721
BaseRepresentation
bin1011111101000…
…11111010100000
320222201001200110
411332203322200
5201133123422
613541251320
72325263223
oct576437240
9228631613
10100286112
1151677493
1229703b40
1317a13ac4
14d4675ba
158c0e60c
hex5fa3ea0

100286112 has 48 divisors (see below), whose sum is σ = 263837952. Its totient is φ = 33354240.

The previous prime is 100286101. The next prime is 100286113. The reversal of 100286112 is 211682001.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (100286113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57412 + ... + 59132.

It is an arithmetic number, because the mean of its divisors is an integer number (5496624).

Almost surely, 2100286112 is an apocalyptic number.

100286112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100286112 is an abundant number, since it is smaller than the sum of its proper divisors (163551840).

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

100286112 is a wasteful number, since it uses less digits than its factorization.

100286112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100286112 is about 10014.2953821025. The cubic root of 100286112 is about 464.6011332738.

The spelling of 100286112 in words is "one hundred million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 607 1214 1721 1821 2428 3442 3642 4856 5163 6884 7284 9712 10326 13768 14568 19424 20652 27536 29136 41304 55072 58272 82608 165216 1044647 2089294 3133941 4178588 6267882 8357176 12535764 16714352 25071528 33428704 50143056 100286112