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310300040024113 is a prime number
BaseRepresentation
bin100011010001101110101101…
…1101010001101000000110001
31111200200101122022102022012011
41012203131123222031000301
5311132423440221232423
63015541512004202521
7122234303155225306
oct10643353352150061
91450611568368164
10310300040024113
118a9645650a7517
122a976287699441
131041b225763739
14568a8601250ad
1525d1939719b0d
hex11a375ba8d031

310300040024113 has 2 divisors, whose sum is σ = 310300040024114. Its totient is φ = 310300040024112.

The previous prime is 310300040024041. The next prime is 310300040024137. The reversal of 310300040024113 is 311420040003013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168471781390224 + 141828258633889 = 12979668^2 + 11909167^2 .

It is an emirp because it is prime and its reverse (311420040003013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310300040024113 - 221 = 310300037926961 is a prime.

It is a super-2 number, since 2×3103000400241132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (310300040024153) 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, 155150020012056 + 155150020012057.

It is an arithmetic number, because the mean of its divisors is an integer number (155150020012057).

Almost surely, 2310300040024113 is an apocalyptic number.

It is an amenable number.

310300040024113 is a deficient number, since it is larger than the sum of its proper divisors (1).

310300040024113 is an equidigital number, since it uses as much as digits as its factorization.

310300040024113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 310300040024113 its reverse (311420040003013), we get a palindrome (621720080027126).

The spelling of 310300040024113 in words is "three hundred ten trillion, three hundred billion, forty million, twenty-four thousand, one hundred thirteen".