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230310000013 is a prime number
BaseRepresentation
bin1101011001111110001…
…0111011010110001101
3211000110200220012221111
43112133202323112031
512233133330000023
6253445234332021
722432203461662
oct3263742732615
9730420805844
10230310000013
1189745a99895
123877642a011
13189449a3922
14b20b783a69
155ece3d500d
hex359f8bb58d

230310000013 has 2 divisors, whose sum is σ = 230310000014. Its totient is φ = 230310000012.

The previous prime is 230309999999. The next prime is 230310000017. The reversal of 230310000013 is 310000013032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180640300324 + 49669699689 = 425018^2 + 222867^2 .

It is a cyclic number.

It is not a de Polignac number, because 230310000013 - 25 = 230309999981 is a prime.

It is a super-2 number, since 2×2303100000132 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230309999948 and 230310000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230310000017) 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, 115155000006 + 115155000007.

It is an arithmetic number, because the mean of its divisors is an integer number (115155000007).

Almost surely, 2230310000013 is an apocalyptic number.

It is an amenable number.

230310000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

230310000013 is an equidigital number, since it uses as much as digits as its factorization.

230310000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 230310000013 its reverse (310000013032), we get a palindrome (540310013045).

The spelling of 230310000013 in words is "two hundred thirty billion, three hundred ten million, thirteen", and thus it is an aban number.