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112285948320 = 253257133723159
BaseRepresentation
bin110100010010011000…
…0111001100110100000
3101201211101211011221200
41220210300321212200
53314430200321240
6123330005321200
711053356545550
oct1504460714640
9351741734850
10112285948320
11436905439a7
1219918406200
13a785c92250
145612a35160
152dc2b40930
hex1a24c399a0

112285948320 has 576 divisors, whose sum is σ = 484367869440. Its totient is φ = 23049805824.

The previous prime is 112285948297. The next prime is 112285948331. The reversal of 112285948320 is 23849582211.

112285948320 is a `hidden beast` number, since 1 + 1 + 2 + 28 + 594 + 8 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4836901 + ... + 4860059.

It is an arithmetic number, because the mean of its divisors is an integer number (840916440).

Almost surely, 2112285948320 is an apocalyptic number.

112285948320 is a gapful number since it is divisible by the number (10) 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 112285948320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242183934720).

112285948320 is an abundant number, since it is smaller than the sum of its proper divisors (372081921120).

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

112285948320 is a wasteful number, since it uses less digits than its factorization.

112285948320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23237 (or 23226 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 112285948320 in words is "one hundred twelve billion, two hundred eighty-five million, nine hundred forty-eight thousand, three hundred twenty".