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313430040039313 is a prime number
BaseRepresentation
bin100011101000100000001111…
…0001100101100111110010001
31112002202121201101122121010001
41013101000132030230332101
5312040214210222224223
63030335434515210001
7123006400402332151
oct10721003614547621
91462677641577101
10313430040039313
1190960a2a55278a
122b1a0a122a6901
13105b7431172052
1457581484cc761
15263807bcc69ad
hex11d101e32cf91

313430040039313 has 2 divisors, whose sum is σ = 313430040039314. Its totient is φ = 313430040039312.

The previous prime is 313430040039227. The next prime is 313430040039323. The reversal of 313430040039313 is 313930040034313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312476081522049 + 953958517264 = 17676993^2 + 976708^2 .

It is an emirp because it is prime and its reverse (313930040034313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313430040039313 is a prime.

It is not a weakly prime, because it can be changed into another prime (313430040039323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156715020019656 + 156715020019657.

It is an arithmetic number, because the mean of its divisors is an integer number (156715020019657).

Almost surely, 2313430040039313 is an apocalyptic number.

It is an amenable number.

313430040039313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313430040039313 is an equidigital number, since it uses as much as digits as its factorization.

313430040039313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 37.

The spelling of 313430040039313 in words is "three hundred thirteen trillion, four hundred thirty billion, forty million, thirty-nine thousand, three hundred thirteen".