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12323002321313 = 175691273958681
BaseRepresentation
bin1011001101010010110000…
…1011010000100110100001
31121122001211012221010100222
42303110230023100212201
53103400002043240223
642113035322452425
72411210325313205
oct263245413204641
947561735833328
1012323002321313
113a21179606602
121470344664115
136b5091c110b8
14308617a54b05
15165839bec0c8
hexb352c2d09a1

12323002321313 has 8 divisors (see below), whose sum is σ = 13070816077320. Its totient is φ = 11577736483840.

The previous prime is 12323002321309. The next prime is 12323002321361. The reversal of 12323002321313 is 31312320032321.

It can be written as a sum of positive squares in 4 ways, for example, as 1587831848464 + 10735170472849 = 1260092^2 + 3276457^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12323002321313 - 22 = 12323002321309 is a prime.

It is a super-3 number, since 3×123230023213133 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12323002321373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636969668 + ... + 636989013.

It is an arithmetic number, because the mean of its divisors is an integer number (1633852009665).

Almost surely, 212323002321313 is an apocalyptic number.

It is an amenable number.

12323002321313 is a deficient number, since it is larger than the sum of its proper divisors (747813756007).

12323002321313 is a wasteful number, since it uses less digits than its factorization.

12323002321313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273959267.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 12323002321313 its reverse (31312320032321), we get a palindrome (43635322353634).

The spelling of 12323002321313 in words is "twelve trillion, three hundred twenty-three billion, two million, three hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 17 569 9673 1273958681 21657297577 724882489489 12323002321313