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112381062075 = 32523311508977
BaseRepresentation
bin110100010101001101…
…1101110101110111011
3101202002000210110111100
41220222123232232323
53320124022441300
6123343244102443
711055623160252
oct1505233565673
9352060713440
10112381062075
114372a1a8307
1219944234a23
13a79c8b4989
145621513799
152dcb17c700
hex1a2a6eebbb

112381062075 has 36 divisors (see below), whose sum is σ = 201895220488. Its totient is φ = 59755449600.

The previous prime is 112381062071. The next prime is 112381062089. The reversal of 112381062075 is 570260183211.

112381062075 is a `hidden beast` number, since 1 + 1 + 23 + 8 + 1 + 0 + 620 + 7 + 5 = 666.

It is not a de Polignac number, because 112381062075 - 22 = 112381062071 is a prime.

It is a super-2 number, since 2×1123810620752 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112381062071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680014 + ... + 828963.

Almost surely, 2112381062075 is an apocalyptic number.

112381062075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112381062075 is a deficient number, since it is larger than the sum of its proper divisors (89514158413).

112381062075 is a wasteful number, since it uses less digits than its factorization.

112381062075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509324 (or 1509316 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 112381062075 in words is "one hundred twelve billion, three hundred eighty-one million, sixty-two thousand, seventy-five".

Divisors: 1 3 5 9 15 25 45 75 225 331 993 1655 2979 4965 8275 14895 24825 74475 1508977 4526931 7544885 13580793 22634655 37724425 67903965 113173275 339519825 499471387 1498414161 2497356935 4495242483 7492070805 12486784675 22476212415 37460354025 112381062075