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112342121320 = 235111326124767
BaseRepresentation
bin110100010100000011…
…1001011101101101000
3101201222022112001211011
41220220013023231220
53320034040340240
6123335333313304
711054641163332
oct1505007135550
9351868461734
10112342121320
114370a220570
1219933195834
13a7947cc300
14561a298452
152dc7a396ea
hex1a281cbb68

112342121320 has 192 divisors, whose sum is σ = 303499146240. Its totient is φ = 37089561600.

The previous prime is 112342121263. The next prime is 112342121383. The reversal of 112342121320 is 23121243211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112342121291 and 112342121300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4523577 + ... + 4548343.

It is an arithmetic number, because the mean of its divisors is an integer number (1580724720).

Almost surely, 2112342121320 is an apocalyptic number.

112342121320 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 112342121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151749573120).

112342121320 is an abundant number, since it is smaller than the sum of its proper divisors (191157024920).

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

112342121320 is a wasteful number, since it uses less digits than its factorization.

112342121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24876 (or 24859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 112342121320 its reverse (23121243211), we get a palindrome (135463364531).

The spelling of 112342121320 in words is "one hundred twelve billion, three hundred forty-two million, one hundred twenty-one thousand, three hundred twenty".