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312444403307 is a prime number
BaseRepresentation
bin1001000101111110010…
…00110011111001101011
31002212110210021012211022
410202333020303321223
520104341231401212
6355311315523055
731400443415501
oct4427710637153
91085423235738
10312444403307
111105637a1733
1250678bb948b
132360408086a
141119dba2671
1581d9e64772
hex48bf233e6b

312444403307 has 2 divisors, whose sum is σ = 312444403308. Its totient is φ = 312444403306.

The previous prime is 312444403303. The next prime is 312444403309. The reversal of 312444403307 is 703304444213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312444403307 - 22 = 312444403303 is a prime.

Together with 312444403309, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312444403303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156222201653 + 156222201654.

It is an arithmetic number, because the mean of its divisors is an integer number (156222201654).

Almost surely, 2312444403307 is an apocalyptic number.

312444403307 is a deficient number, since it is larger than the sum of its proper divisors (1).

312444403307 is an equidigital number, since it uses as much as digits as its factorization.

312444403307 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 35.

The spelling of 312444403307 in words is "three hundred twelve billion, four hundred forty-four million, four hundred three thousand, three hundred seven".