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12317000000 = 2656109113
BaseRepresentation
bin10110111100010011…
…01000000101000000
31011210101121102121012
423132021220011000
5200211123000000
65354112020052
7614140525664
oct133611500500
934711542535
1012317000000
115250697448
122478b31628
131213a353a6
1484bb788a4
154c14db735
hex2de268140

12317000000 has 196 divisors, whose sum is σ = 31104679980. Its totient is φ = 4838400000.

The previous prime is 12316999999. The next prime is 12317000009. The reversal of 12317000000 is 71321.

It can be written as a sum of positive squares in 14 ways, for example, as 7799009344 + 4517990656 = 88312^2 + 67216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12317000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 108999944 + ... + 109000056.

Almost surely, 212317000000 is an apocalyptic number.

12317000000 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 12317000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552339990).

12317000000 is an abundant number, since it is smaller than the sum of its proper divisors (18787679980).

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

12317000000 is an frugal number, since it uses more digits than its factorization.

12317000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

Adding to 12317000000 its reverse (71321), we get a palindrome (12317071321).

The spelling of 12317000000 in words is "twelve billion, three hundred seventeen million", and thus it is an aban number.