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105513344969 is a prime number
BaseRepresentation
bin110001001000100010…
…1011101111111001001
3101002100101222021201112
41202101011131333021
53212042404014334
6120245553100105
710423501430354
oct1422105357711
9332311867645
10105513344969
114082559484a
1218548257635
139c46b16646
14516d38d29b
152b282934ce
hex189115dfc9

105513344969 has 2 divisors, whose sum is σ = 105513344970. Its totient is φ = 105513344968.

The previous prime is 105513344957. The next prime is 105513344983. The reversal of 105513344969 is 969443315501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59968663225 + 45544681744 = 244885^2 + 213412^2 .

It is an emirp because it is prime and its reverse (969443315501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105513344969 - 212 = 105513340873 is a prime.

It is a super-2 number, since 2×1055133449692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105513344939) 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, 52756672484 + 52756672485.

It is an arithmetic number, because the mean of its divisors is an integer number (52756672485).

Almost surely, 2105513344969 is an apocalyptic number.

It is an amenable number.

105513344969 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513344969 is an equidigital number, since it uses as much as digits as its factorization.

105513344969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 105513344969 in words is "one hundred five billion, five hundred thirteen million, three hundred forty-four thousand, nine hundred sixty-nine".