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112130431920 = 243451321719317
BaseRepresentation
bin110100001101101111…
…1101001101110110000
3101201102120012010120000
41220123133221232300
53314120342310140
6123302332150000
711046460642143
oct1503337515660
9351376163500
10112130431920
1143610784151
1219894308300
13a75c9b1500
1455da11205a
152db4171a30
hex1a1b7e9bb0

112130431920 has 1200 divisors, whose sum is σ = 471497099040. Its totient is φ = 24532844544.

The previous prime is 112130431913. The next prime is 112130431921. The reversal of 112130431920 is 29134031211.

112130431920 is a `hidden beast` number, since 1 + 1 + 21 + 304 + 319 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (112130431921) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 353723602 + ... + 353723918.

Almost surely, 2112130431920 is an apocalyptic number.

112130431920 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 112130431920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235748549520).

112130431920 is an abundant number, since it is smaller than the sum of its proper divisors (359366667120).

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

112130431920 is a wasteful number, since it uses less digits than its factorization.

112130431920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

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

The spelling of 112130431920 in words is "one hundred twelve billion, one hundred thirty million, four hundred thirty-one thousand, nine hundred twenty".