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10342032013 is a prime number
BaseRepresentation
bin10011010000110111…
…01110001010001101
3222200202100122211201
421220123232022031
5132140030011023
64430121345501
7514166551555
oct115033561215
928622318751
1010342032013
1144278977a5
122007638291
13c8a813991
14701758165
15407e20bad
hex2686ee28d

10342032013 has 2 divisors, whose sum is σ = 10342032014. Its totient is φ = 10342032012.

The previous prime is 10342032011. The next prime is 10342032031. The reversal of 10342032013 is 31023024301.

10342032013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10342032031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9231942889 + 1110089124 = 96083^2 + 33318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10342032013 - 21 = 10342032011 is a prime.

Together with 10342032011, 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 (10342032011) 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, 5171016006 + 5171016007.

It is an arithmetic number, because the mean of its divisors is an integer number (5171016007).

Almost surely, 210342032013 is an apocalyptic number.

It is an amenable number.

10342032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10342032013 is an equidigital number, since it uses as much as digits as its factorization.

10342032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10342032013 its reverse (31023024301), we get a palindrome (41365056314).

The spelling of 10342032013 in words is "ten billion, three hundred forty-two million, thirty-two thousand, thirteen".