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112297128 = 233311491013
BaseRepresentation
bin1101011000110…
…00010010101000
321211022021200220
412230120102220
5212222002003
615050530040
72532336606
oct654302250
9254267626
10112297128
1158430549
1231736920
131a35ab08
1410cb2876
159cd3353
hex6b184a8

112297128 has 64 divisors (see below), whose sum is σ = 292032000. Its totient is φ = 35946240.

The previous prime is 112297117. The next prime is 112297139. The reversal of 112297128 is 821792211.

It is an interprime number because it is at equal distance from previous prime (112297117) and next prime (112297139).

It is a super-2 number, since 2×1122971282 = 25221289914096768, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110350 + ... + 111362.

It is an arithmetic number, because the mean of its divisors is an integer number (4563000).

Almost surely, 2112297128 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 112297128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

112297128 is an abundant number, since it is smaller than the sum of its proper divisors (179734872).

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

112297128 is a wasteful number, since it uses less digits than its factorization.

112297128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 112297128 is about 10597.0339246414. The cubic root of 112297128 is about 482.4543387934.

The spelling of 112297128 in words is "one hundred twelve million, two hundred ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 372 447 596 744 894 1013 1192 1788 2026 3039 3576 4052 4619 6078 8104 9238 12156 13857 18476 24312 27714 31403 36952 55428 62806 94209 110856 125612 150937 188418 251224 301874 376836 452811 603748 753672 905622 1207496 1811244 3622488 4679047 9358094 14037141 18716188 28074282 37432376 56148564 112297128