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112230074880 = 29365711271
BaseRepresentation
bin110100010000101101…
…1110000101000000000
3101201200111200112000000
41220201123300220000
53314321344344010
6123320252000000
711052110616330
oct1504133605000
9351614615000
10112230074880
1143661a51400
1219901760000
13a77752b641
14560944d0c0
152dbcca57c0
hex1a216f0a00

112230074880 has 1680 divisors, whose sum is σ = 513950355072. Its totient is φ = 22992076800.

The previous prime is 112230074729. The next prime is 112230074897. The reversal of 112230074880 is 88470032211.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1580705245 + ... + 1580705315.

Almost surely, 2112230074880 is an apocalyptic number.

112230074880 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 112230074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256975177536).

112230074880 is an abundant number, since it is smaller than the sum of its proper divisors (401720280192).

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

112230074880 is an frugal number, since it uses more digits than its factorization.

112230074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 112230074880 in words is "one hundred twelve billion, two hundred thirty million, seventy-four thousand, eight hundred eighty".