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320023130112 = 2123272177167
BaseRepresentation
bin1001010100000101101…
…11010111000000000000
31010121000221222102112200
410222002313113000000
520220401410130422
6403003330153200
732056320503100
oct4520267270000
91117027872480
10320023130112
111137a2794314
1252033122800
13242412445aa
14116bc529200
1584d04982ac
hex4a82dd7000

320023130112 has 234 divisors, whose sum is σ = 1075326668208. Its totient is φ = 91434663936.

The previous prime is 320023130111. The next prime is 320023130117. The reversal of 320023130112 is 211031320023.

320023130112 is a `hidden beast` number, since 320 + 0 + 2 + 31 + 301 + 12 = 666.

It is a super-2 number, since 2×3200231301122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320023130111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1717753 + ... + 1894919.

It is an arithmetic number, because the mean of its divisors is an integer number (4595413112).

Almost surely, 2320023130112 is an apocalyptic number.

320023130112 is a gapful number since it is divisible by the number (32) 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 320023130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537663334104).

320023130112 is an abundant number, since it is smaller than the sum of its proper divisors (755303538096).

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

320023130112 is a wasteful number, since it uses less digits than its factorization.

320023130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177211 (or 177179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 320023130112 its reverse (211031320023), we get a palindrome (531054450135).

The spelling of 320023130112 in words is "three hundred twenty billion, twenty-three million, one hundred thirty thousand, one hundred twelve".