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18368846101 is a prime number
BaseRepresentation
bin10001000110110111…
…100101100100010101
31202102011020001202101
4101012313211210111
5300104411033401
612234420042101
71220124421114
oct210667454425
952364201671
1018368846101
117876809a51
123687833331
131969784908
14c63801c7b
15727966101
hex446de5915

18368846101 has 2 divisors, whose sum is σ = 18368846102. Its totient is φ = 18368846100.

The previous prime is 18368846099. The next prime is 18368846107. The reversal of 18368846101 is 10164886381.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11957641201 + 6411204900 = 109351^2 + 80070^2 .

It is a cyclic number.

It is not a de Polignac number, because 18368846101 - 21 = 18368846099 is a prime.

Together with 18368846099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18368846107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9184423050 + 9184423051.

It is an arithmetic number, because the mean of its divisors is an integer number (9184423051).

Almost surely, 218368846101 is an apocalyptic number.

It is an amenable number.

18368846101 is a deficient number, since it is larger than the sum of its proper divisors (1).

18368846101 is an equidigital number, since it uses as much as digits as its factorization.

18368846101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 18368846101 in words is "eighteen billion, three hundred sixty-eight million, eight hundred forty-six thousand, one hundred one".