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10344308593 is a prime number
BaseRepresentation
bin10011010001001000…
…11001111101110001
3222200220122022201111
421220210121331301
5132141120333333
64430242233321
7514225113043
oct115044317561
928626568644
1010344308593
114429102173
122008355841
13c8b12cc78
14701b8ba93
154082204cd
hex268919f71

10344308593 has 2 divisors, whose sum is σ = 10344308594. Its totient is φ = 10344308592.

The previous prime is 10344308591. The next prime is 10344308659. The reversal of 10344308593 is 39580344301.

It is a happy number.

10344308593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5587861504 + 4756447089 = 74752^2 + 68967^2 .

It is a cyclic number.

It is not a de Polignac number, because 10344308593 - 21 = 10344308591 is a prime.

Together with 10344308591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10344308591) 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, 5172154296 + 5172154297.

It is an arithmetic number, because the mean of its divisors is an integer number (5172154297).

Almost surely, 210344308593 is an apocalyptic number.

It is an amenable number.

10344308593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10344308593 is an equidigital number, since it uses as much as digits as its factorization.

10344308593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 10344308593 in words is "ten billion, three hundred forty-four million, three hundred eight thousand, five hundred ninety-three".