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12313323000 = 2333531123769
BaseRepresentation
bin10110111011110111…
…00110010111111000
31011210010200121201000
423131323212113320
5200204202314000
65353501125000
7614064342606
oct133573462770
934703617630
1012313323000
115249605900
122477859760
131213048854
1484b49c876
154c1012000
hex2ddee65f8

12313323000 has 384 divisors, whose sum is σ = 46931976000. Its totient is φ = 2984256000.

The previous prime is 12313322999. The next prime is 12313323037. The reversal of 12313323000 is 32331321.

Added to its reverse (32331321) it gives a square (12345654321 = 1111112).

12313323000 is a `hidden beast` number, since 1 + 2 + 31 + 332 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265116 + ... + 3268884.

Almost surely, 212313323000 is an apocalyptic number.

12313323000 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 12313323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465988000).

12313323000 is an abundant number, since it is smaller than the sum of its proper divisors (34618653000).

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

12313323000 is a wasteful number, since it uses less digits than its factorization.

12313323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3790 counting only the distinct ones).

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

Adding to 12313323000 its reverse (32331321), we get a palindrome (12345654321).

The spelling of 12313323000 in words is "twelve billion, three hundred thirteen million, three hundred twenty-three thousand".