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105513345199 is a prime number
BaseRepresentation
bin110001001000100010…
…1011110000010101111
3101002100101222022001001
41202101011132002233
53212042404021244
6120245553101131
710423501431133
oct1422105360257
9332311868031
10105513345199
1140825594a39
12185482577a7
139c46b16792
14516d38d3c3
152b282935d4
hex189115e0af

105513345199 has 2 divisors, whose sum is σ = 105513345200. Its totient is φ = 105513345198.

The previous prime is 105513345167. The next prime is 105513345251. The reversal of 105513345199 is 991543315501.

It is a weak prime.

It is an emirp because it is prime and its reverse (991543315501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105513345199 - 25 = 105513345167 is a prime.

It is a super-2 number, since 2×1055133451992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105513345139) 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, 52756672599 + 52756672600.

It is an arithmetic number, because the mean of its divisors is an integer number (52756672600).

Almost surely, 2105513345199 is an apocalyptic number.

105513345199 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513345199 is an equidigital number, since it uses as much as digits as its factorization.

105513345199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 364500, while the sum is 46.

The spelling of 105513345199 in words is "one hundred five billion, five hundred thirteen million, three hundred forty-five thousand, one hundred ninety-nine".