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105318398279 is a prime number
BaseRepresentation
bin110001000010101110…
…1110011100101000111
3101001211211010222010202
41202011131303211013
53211143002221104
6120214350441115
710415613420563
oct1420535634507
9331754128122
10105318398279
1140735543486
12184b2b0319b
139c1560b483
1451515246a3
152b160d651e
hex1885773947

105318398279 has 2 divisors, whose sum is σ = 105318398280. Its totient is φ = 105318398278.

The previous prime is 105318398243. The next prime is 105318398281. The reversal of 105318398279 is 972893813501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105318398279 - 220 = 105317349703 is a prime.

It is a super-2 number, since 2×1053183982792 (a number of 23 digits) contains 22 as substring.

Together with 105318398281, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105318398209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52659199139 + 52659199140.

It is an arithmetic number, because the mean of its divisors is an integer number (52659199140).

Almost surely, 2105318398279 is an apocalyptic number.

105318398279 is a deficient number, since it is larger than the sum of its proper divisors (1).

105318398279 is an equidigital number, since it uses as much as digits as its factorization.

105318398279 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 105318398279 in words is "one hundred five billion, three hundred eighteen million, three hundred ninety-eight thousand, two hundred seventy-nine".