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112286813832 = 23321722321012
BaseRepresentation
bin110100010010011010…
…0001100111010001000
3101201211110110011012200
41220210310030322020
53314430411020312
6123330040040200
711053400112114
oct1504464147210
9351743404180
10112286813832
1143690a851a6
1219918763060
13a78620619b
145612bbc744
152dc2c620dc
hex1a24d0ce88

112286813832 has 324 divisors, whose sum is σ = 341084369535. Its totient is φ = 33361996800.

The previous prime is 112286813831. The next prime is 112286813839. The reversal of 112286813832 is 238318682211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112286813832 is a `hidden beast` number, since 112 + 2 + 86 + 81 + 383 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 111252934116 + 1033879716 = 333546^2 + 32154^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=236946.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112286813831) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1111750582 + ... + 1111750682.

Almost surely, 2112286813832 is an apocalyptic number.

112286813832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112286813832

112286813832 is an abundant number, since it is smaller than the sum of its proper divisors (228797555703).

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

112286813832 is a wasteful number, since it uses less digits than its factorization.

112286813832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 146 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 112286813832 in words is "one hundred twelve billion, two hundred eighty-six million, eight hundred thirteen thousand, eight hundred thirty-two".