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112125168432 = 24331391867259
BaseRepresentation
bin110100001101100101…
…1100100101100110000
3101201102012021201102000
41220123023210230300
53314113020342212
6123302023254000
711046365130534
oct1503313445460
9351365251360
10112125168432
1143608809662
12198925aa300
13a75b88a814
1455d9541bc4
152db39821dc
hex1a1b2e4b30

112125168432 has 80 divisors (see below), whose sum is σ = 324156336000. Its totient is φ = 37106150976.

The previous prime is 112125168401. The next prime is 112125168437. The reversal of 112125168432 is 234861521211.

112125168432 is a `hidden beast` number, since 1 + 1 + 212 + 5 + 1 + 6 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112125168437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873582 + ... + 993677.

It is an arithmetic number, because the mean of its divisors is an integer number (4051954200).

Almost surely, 2112125168432 is an apocalyptic number.

112125168432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112125168432 is an abundant number, since it is smaller than the sum of its proper divisors (212031167568).

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

112125168432 is a wasteful number, since it uses less digits than its factorization.

112125168432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867415 (or 1867403 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Adding to 112125168432 its reverse (234861521211), we get a palindrome (346986689643).

The spelling of 112125168432 in words is "one hundred twelve billion, one hundred twenty-five million, one hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 556 834 1112 1251 1668 2224 2502 3336 3753 5004 6672 7506 10008 15012 20016 30024 60048 1867259 3734518 5601777 7469036 11203554 14938072 16805331 22407108 29876144 33610662 44814216 50415993 67221324 89628432 100831986 134442648 201663972 259549001 268885296 403327944 519098002 778647003 806655888 1038196004 1557294006 2076392008 2335941009 3114588012 4152784016 4671882018 6229176024 7007823027 9343764036 12458352048 14015646054 18687528072 28031292108 37375056144 56062584216 112125168432