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112332302313000 = 2335371117711013989
BaseRepresentation
bin11001100010101001100110…
…111110011110011000101000
3112201201212022021211011220020
4121202221212332132120220
5104210423023343004000
61034524425224400440
732442512112213030
oct3142514676363050
9481655267734806
10112332302313000
1132879953182120
1210722904916120
134a8ab76a013b3
141da4caba4c8c0
15cec04aba4ba0
hex662a66f9e628

112332302313000 has 2048 divisors, whose sum is σ = 473941949644800. Its totient is φ = 21439488000000.

The previous prime is 112332302312999. The next prime is 112332302313139. The reversal of 112332302313000 is 313203233211.

It is a super-2 number, since 2×1123323023130002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28160515006 + ... + 28160518994.

It is an arithmetic number, because the mean of its divisors is an integer number (231416967600).

Almost surely, 2112332302313000 is an apocalyptic number.

112332302313000 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 112332302313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236970974822400).

112332302313000 is an abundant number, since it is smaller than the sum of its proper divisors (361609647331800).

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

112332302313000 is a wasteful number, since it uses less digits than its factorization.

112332302313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 112332302313000 its reverse (313203233211), we get a palindrome (112645505546211).

The spelling of 112332302313000 in words is "one hundred twelve trillion, three hundred thirty-two billion, three hundred two million, three hundred thirteen thousand".