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310242400313 is a prime number
BaseRepresentation
bin1001000001110111110…
…00110101100000111001
31002122210022210212120212
410200323320311200321
520040334023302223
6354305015200505
731262044614626
oct4407370654071
91078708725525
10310242400313
1110a63382424a
1250163676135
1323342aca601
141103156334d
15810b99e278
hex483be35839

310242400313 has 2 divisors, whose sum is σ = 310242400314. Its totient is φ = 310242400312.

The previous prime is 310242400291. The next prime is 310242400319. The reversal of 310242400313 is 313004242013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308872512169 + 1369888144 = 555763^2 + 37012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310242400313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (310242400319) 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 as a sum of consecutive naturals, namely, 155121200156 + 155121200157.

It is an arithmetic number, because the mean of its divisors is an integer number (155121200157).

Almost surely, 2310242400313 is an apocalyptic number.

It is an amenable number.

310242400313 is a deficient number, since it is larger than the sum of its proper divisors (1).

310242400313 is an equidigital number, since it uses as much as digits as its factorization.

310242400313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 310242400313 its reverse (313004242013), we get a palindrome (623246642326).

The spelling of 310242400313 in words is "three hundred ten billion, two hundred forty-two million, four hundred thousand, three hundred thirteen".