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112133313108 = 22323784184169
BaseRepresentation
bin110100001101110101…
…0101001001001010100
3101201102202121111210200
41220123222221021110
53314122112004413
6123302514020500
711046524302125
oct1503352511124
9351382544720
10112133313108
11436123718a3
1219895277730
13a76047ca5b
1455da66204c
152db4540573
hex1a1baa9254

112133313108 has 36 divisors (see below), whose sum is σ = 291108859860. Its totient is φ = 36367560576.

The previous prime is 112133313049. The next prime is 112133313109. The reversal of 112133313108 is 801313331211.

It is a happy number.

112133313108 is a `hidden beast` number, since 1 + 1 + 2 + 13 + 331 + 310 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103414982724 + 8718330384 = 321582^2 + 93372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133313109) 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 11 ways as a sum of consecutive naturals, for example, 42090753 + ... + 42093416.

Almost surely, 2112133313108 is an apocalyptic number.

112133313108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112133313108 is an abundant number, since it is smaller than the sum of its proper divisors (178975546752).

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

112133313108 is a wasteful number, since it uses less digits than its factorization.

112133313108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84184216 (or 84184211 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 112133313108 its reverse (801313331211), we get a palindrome (913446644319).

The spelling of 112133313108 in words is "one hundred twelve billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 84184169 168368338 252552507 336736676 505105014 757657521 1010210028 1515315042 3030630084 3114814253 6229628506 9344442759 12459257012 18688885518 28033328277 37377771036 56066656554 112133313108