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12312311323 = 133130551641
BaseRepresentation
bin10110111011101111…
…01111011000011011
31011210001210012221111
423131313233120123
5200203422430243
65353423321151
7614052630244
oct133567573033
934701705844
1012312311323
115248a84804
1224774501b7
131212a83220
1484b2b7ccb
154c0db239d
hex2dddef61b

12312311323 has 8 divisors (see below), whose sum is σ = 13687135616. Its totient is φ = 10998590400.

The previous prime is 12312311299. The next prime is 12312311329. The reversal of 12312311323 is 32311321321.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312311323 is a prime.

It is a super-2 number, since 2×123123113232 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12312311294 and 12312311303.

It is not an unprimeable number, because it can be changed into a prime (12312311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15275418 + ... + 15276223.

It is an arithmetic number, because the mean of its divisors is an integer number (1710891952).

Almost surely, 212312311323 is an apocalyptic number.

12312311323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12312311323 is a deficient number, since it is larger than the sum of its proper divisors (1374824293).

12312311323 is a wasteful number, since it uses less digits than its factorization.

12312311323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30551685.

The product of its digits is 648, while the sum is 22.

Adding to 12312311323 its reverse (32311321321), we get a palindrome (44623632644).

The spelling of 12312311323 in words is "twelve billion, three hundred twelve million, three hundred eleven thousand, three hundred twenty-three".

Divisors: 1 13 31 403 30551641 397171333 947100871 12312311323