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112320456192 = 293372165817
BaseRepresentation
bin110100010011011010…
…0100010011000000000
3101201220210202100212000
41220212310202120000
53320013014044232
6123333241104000
711054256060600
oct1504664423000
9351823670760
10112320456192
11436a8a731aa
1219927a88000
13a790184cc9
145617458c00
152dc5baa27c
hex1a26d22600

112320456192 has 240 divisors, whose sum is σ = 386760535920. Its totient is φ = 32091365376.

The previous prime is 112320456119. The next prime is 112320456229. The reversal of 112320456192 is 291654023211.

112320456192 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 2 + 0 + 4 + 561 + 92 = 666.

It is a super-2 number, since 2×1123204561922 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 594468 + ... + 760284.

It is an arithmetic number, because the mean of its divisors is an integer number (1611502233).

Almost surely, 2112320456192 is an apocalyptic number.

112320456192 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 112320456192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380267960).

112320456192 is an abundant number, since it is smaller than the sum of its proper divisors (274440079728).

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

112320456192 is an equidigital number, since it uses as much as digits as its factorization.

112320456192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165858 (or 165829 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 1123204 and 56192, that added together give a square (1179396 = 10862).

The spelling of 112320456192 in words is "one hundred twelve billion, three hundred twenty million, four hundred fifty-six thousand, one hundred ninety-two".