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12312312023257 is a prime number
BaseRepresentation
bin1011001100101010111011…
…1111000000100011011001
31121121001020012020201022221
42303022232333000203121
53103211103334221012
642104110440344041
72410351366265401
oct263125677004331
947531205221287
1012312312023257
113a17693179434
12146a260475021
136b407a20054c
14307cc1d61801
15165411436507
hexb32aefc08d9

12312312023257 has 2 divisors, whose sum is σ = 12312312023258. Its totient is φ = 12312312023256.

The previous prime is 12312312023237. The next prime is 12312312023411. The reversal of 12312312023257 is 75232021321321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10980713728656 + 1331598294601 = 3313716^2 + 1153949^2 .

It is a cyclic number.

It is not a de Polignac number, because 12312312023257 - 235 = 12277952284889 is a prime.

It is not a weakly prime, because it can be changed into another prime (12312312023227) 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 as a sum of consecutive naturals, namely, 6156156011628 + 6156156011629.

It is an arithmetic number, because the mean of its divisors is an integer number (6156156011629).

Almost surely, 212312312023257 is an apocalyptic number.

It is an amenable number.

12312312023257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312312023257 is an equidigital number, since it uses as much as digits as its factorization.

12312312023257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

Adding to 12312312023257 its reverse (75232021321321), we get a palindrome (87544333344578).

The spelling of 12312312023257 in words is "twelve trillion, three hundred twelve billion, three hundred twelve million, twenty-three thousand, two hundred fifty-seven".