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112051332 = 223211932609
BaseRepresentation
bin1101010110111…
…00010010000100
321210211210112100
412223130102010
5212141120312
615041352100
72530264161
oct653342204
9253753470
10112051332
1158282908
1231638630
131a2a2c83
1410c4b068
159c855dc
hex6adc484

112051332 has 36 divisors (see below), whose sum is σ = 283586940. Its totient is φ = 37304832.

The previous prime is 112051321. The next prime is 112051343. The reversal of 112051332 is 233150211.

112051332 is a `hidden beast` number, since 1 + 120 + 513 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (112051321) and next prime (112051343).

It can be written as a sum of positive squares in 2 ways, for example, as 55711296 + 56340036 = 7464^2 + 7506^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41644 + ... + 44252.

It is an arithmetic number, because the mean of its divisors is an integer number (7877415).

Almost surely, 2112051332 is an apocalyptic number.

112051332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112051332 is an abundant number, since it is smaller than the sum of its proper divisors (171535608).

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

112051332 is a wasteful number, since it uses less digits than its factorization.

112051332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112051332 is about 10585.4301754818. The cubic root of 112051332 is about 482.1020829105.

The spelling of 112051332 in words is "one hundred twelve million, fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 2609 3579 4772 5218 7158 7827 10436 10737 14316 15654 21474 23481 31308 42948 46962 93924 3112537 6225074 9337611 12450148 18675222 28012833 37350444 56025666 112051332