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18306090013 is a prime number
BaseRepresentation
bin10001000011001000…
…001100010000011101
31202020210010201120211
4101003020030100131
5244442324340023
612224255012421
71215433124551
oct210310142035
952223121524
1018306090013
117844346412
12366a80a111
131959781333
14c59347861
157221bba0d
hex44320c41d

18306090013 has 2 divisors, whose sum is σ = 18306090014. Its totient is φ = 18306090012.

The previous prime is 18306089981. The next prime is 18306090031. The reversal of 18306090013 is 31009060381.

Together with next prime (18306090031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18139241124 + 166848889 = 134682^2 + 12917^2 .

It is a cyclic number.

It is not a de Polignac number, because 18306090013 - 25 = 18306089981 is a prime.

It is a super-2 number, since 2×183060900132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18306090043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9153045006 + 9153045007.

It is an arithmetic number, because the mean of its divisors is an integer number (9153045007).

Almost surely, 218306090013 is an apocalyptic number.

It is an amenable number.

18306090013 is a deficient number, since it is larger than the sum of its proper divisors (1).

18306090013 is an equidigital number, since it uses as much as digits as its factorization.

18306090013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 18306090013 in words is "eighteen billion, three hundred six million, ninety thousand, thirteen".