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12331296353 is a prime number
BaseRepresentation
bin10110111110000000…
…01010011001100001
31011211101111202111202
423133000022121201
5200223302440403
65355342250545
7614403201215
oct133700123141
934741452452
1012331296353
115258771512
122481886a55
13121699c67c
1484da1a945
154c28b2688
hex2df00a661

12331296353 has 2 divisors, whose sum is σ = 12331296354. Its totient is φ = 12331296352.

The previous prime is 12331296293. The next prime is 12331296359. The reversal of 12331296353 is 35369213321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10458743824 + 1872552529 = 102268^2 + 43273^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331296353 - 28 = 12331296097 is a prime.

It is a super-3 number, since 3×123312963533 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12331296359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165648176 + 6165648177.

It is an arithmetic number, because the mean of its divisors is an integer number (6165648177).

Almost surely, 212331296353 is an apocalyptic number.

It is an amenable number.

12331296353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331296353 is an equidigital number, since it uses as much as digits as its factorization.

12331296353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 87480, while the sum is 38.

The spelling of 12331296353 in words is "twelve billion, three hundred thirty-one million, two hundred ninety-six thousand, three hundred fifty-three".