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112193142228 = 22336971149021
BaseRepresentation
bin110100001111100111…
…0110111110111010100
3101201120221012010221000
41220133032313313110
53314232421022403
6123312452223300
711051151655056
oct1503716676724
9351527163830
10112193142228
1143643116352
12198b130ab30
13a76c999cbb
1456045978d6
152db990c7a3
hex1a1f3b7dd4

112193142228 has 48 divisors (see below), whose sum is σ = 290914787520. Its totient is φ = 37392098400.

The previous prime is 112193142221. The next prime is 112193142239. The reversal of 112193142228 is 822241391211.

It is a happy number.

112193142228 is a `hidden beast` number, since 1 + 121 + 93 + 1 + 422 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112193142192 and 112193142201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112193142221) 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 15 ways as a sum of consecutive naturals, for example, 678358 + ... + 827378.

It is an arithmetic number, because the mean of its divisors is an integer number (6060724740).

Almost surely, 2112193142228 is an apocalyptic number.

112193142228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112193142228 is an abundant number, since it is smaller than the sum of its proper divisors (178721645292).

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

112193142228 is a wasteful number, since it uses less digits than its factorization.

112193142228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156005 (or 155997 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 112193142228 in words is "one hundred twelve billion, one hundred ninety-three million, one hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 6971 13942 20913 27884 41826 62739 83652 125478 149021 188217 250956 298042 376434 447063 596084 752868 894126 1341189 1788252 2682378 4023567 5364756 8047134 16094268 1038825391 2077650782 3116476173 4155301564 6232952346 9349428519 12465904692 18698857038 28048285557 37397714076 56096571114 112193142228