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112891948120 = 235719191241461
BaseRepresentation
bin110100100100011100…
…0100110110001011000
3101210101122010011101201
41221020320212301120
53322200314314440
6123510054123544
711104365504040
oct1511070466130
9353348104351
10112891948120
114397161a586
1219a673505b4
13a8516aba03
14566d300720
152e0ae4619a
hex1a48e26c58

112891948120 has 256 divisors, whose sum is σ = 309115699200. Its totient is φ = 36246528000.

The previous prime is 112891948067. The next prime is 112891948129. The reversal of 112891948120 is 21849198211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112891948129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244884690 + ... + 244885150.

It is an arithmetic number, because the mean of its divisors is an integer number (1207483200).

Almost surely, 2112891948120 is an apocalyptic number.

112891948120 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 112891948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154557849600).

112891948120 is an abundant number, since it is smaller than the sum of its proper divisors (196223751080).

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

112891948120 is a wasteful number, since it uses less digits than its factorization.

112891948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 46.

The spelling of 112891948120 in words is "one hundred twelve billion, eight hundred ninety-one million, nine hundred forty-eight thousand, one hundred twenty".