Search a number
-
+
13035001069 is a prime number
BaseRepresentation
bin11000010001111001…
…00101010011101101
31020122102122122220101
430020330211103231
5203143430013234
65553241151101
7641006452366
oct141074452355
936572578811
1013035001069
115589a11262
12263948b491
1312c97080ac
148b927ab6d
15514567814
hex308f254ed

13035001069 has 2 divisors, whose sum is σ = 13035001070. Its totient is φ = 13035001068.

The previous prime is 13035001003. The next prime is 13035001079. The reversal of 13035001069 is 96010053031.

13035001069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12513107044 + 521894025 = 111862^2 + 22845^2 .

It is a cyclic number.

It is not a de Polignac number, because 13035001069 - 215 = 13034968301 is a prime.

It is a super-2 number, since 2×130350010692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13035001079) 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, 6517500534 + 6517500535.

It is an arithmetic number, because the mean of its divisors is an integer number (6517500535).

Almost surely, 213035001069 is an apocalyptic number.

It is an amenable number.

13035001069 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035001069 is an equidigital number, since it uses as much as digits as its factorization.

13035001069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 28.

The spelling of 13035001069 in words is "thirteen billion, thirty-five million, one thousand, sixty-nine".