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12323313000 = 2333531014519
BaseRepresentation
bin10110111101000011…
…01101010101101000
31011210211111011102000
423132201231111220
5200214232004000
65354455211000
7614245301145
oct133641552550
934724434360
1012323313000
1152542094a9
12247b076a60
1312151359ab
1484c93d3cc
154c1d37000
hex2de86d568

12323313000 has 256 divisors, whose sum is σ = 43153344000. Its totient is φ = 3252960000.

The previous prime is 12323312987. The next prime is 12323313001. The reversal of 12323313000 is 31332321.

12323313000 is a `hidden beast` number, since 1 + 2 + 32 + 331 + 300 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12323313001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724741 + ... + 2729259.

It is an arithmetic number, because the mean of its divisors is an integer number (168567750).

Almost surely, 212323313000 is an apocalyptic number.

12323313000 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 12323313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576672000).

12323313000 is an abundant number, since it is smaller than the sum of its proper divisors (30830031000).

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

12323313000 is a wasteful number, since it uses less digits than its factorization.

12323313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4650 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12323313000 its reverse (31332321), we get a palindrome (12354645321).

The spelling of 12323313000 in words is "twelve billion, three hundred twenty-three million, three hundred thirteen thousand".