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12331310329 = 133637260809
BaseRepresentation
bin10110111110000000…
…01101110011111001
31011211101112110200101
423133000031303321
5200223303412304
65355342435401
7614403260032
oct133700156371
934741473611
1012331310329
115258780a68
122481892b61
1312169a5b40
1484da21a89
154c28b68a4
hex2df00dcf9

12331310329 has 8 divisors (see below), whose sum is σ = 13283574920. Its totient is φ = 11379574656.

The previous prime is 12331310323. The next prime is 12331310333. The reversal of 12331310329 is 92301313321.

It can be written as a sum of positive squares in 4 ways, for example, as 154629225 + 12176681104 = 12435^2 + 110348^2 .

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 12331310329 - 25 = 12331310297 is a prime.

It is a super-2 number, since 2×123313103292 (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 = 12331310297 and 12331310306.

It is not an unprimeable number, because it can be changed into a prime (12331310323) 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, 83124 + ... + 177685.

It is an arithmetic number, because the mean of its divisors is an integer number (1660446865).

Almost surely, 212331310329 is an apocalyptic number.

It is an amenable number.

12331310329 is a deficient number, since it is larger than the sum of its proper divisors (952264591).

12331310329 is a wasteful number, since it uses less digits than its factorization.

12331310329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264459.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 12331310329 in words is "twelve billion, three hundred thirty-one million, three hundred ten thousand, three hundred twenty-nine".

Divisors: 1 13 3637 47281 260809 3390517 948562333 12331310329