Search a number
-
+
13243085593 is a prime number
BaseRepresentation
bin11000101010101100…
…10111001100011001
31021011221012110012121
430111112113030121
5204110212214333
610030033141241
7646114240663
oct142526271431
937157173177
1013243085593
115686416241
1226970ba821
13133086312a
148d8b65533
1552796c32d
hex315597319

13243085593 has 2 divisors, whose sum is σ = 13243085594. Its totient is φ = 13243085592.

The previous prime is 13243085587. The next prime is 13243085599. The reversal of 13243085593 is 39558034231.

13243085593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13243085587) and next prime (13243085599).

It can be written as a sum of positive squares in only one way, i.e., 13242715929 + 369664 = 115077^2 + 608^2 .

It is an emirp because it is prime and its reverse (39558034231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13243085593 - 29 = 13243085081 is a prime.

It is not a weakly prime, because it can be changed into another prime (13243085599) 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, 6621542796 + 6621542797.

It is an arithmetic number, because the mean of its divisors is an integer number (6621542797).

Almost surely, 213243085593 is an apocalyptic number.

It is an amenable number.

13243085593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13243085593 is an equidigital number, since it uses as much as digits as its factorization.

13243085593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 13243085593 in words is "thirteen billion, two hundred forty-three million, eighty-five thousand, five hundred ninety-three".