Search a number
-
+
13255505201 is a prime number
BaseRepresentation
bin11000101100001011…
…01111010100110001
31021012210120102201002
430112011233110301
5204121402131301
610031155251345
7646324635521
oct142605572461
937183512632
1013255505201
115692429284
12269b2a9b55
1313332c1103
148da679681
15528ac216b
hex31616f531

13255505201 has 2 divisors, whose sum is σ = 13255505202. Its totient is φ = 13255505200.

The previous prime is 13255505191. The next prime is 13255505299. The reversal of 13255505201 is 10250555231.

13255505201 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., 7434578176 + 5820927025 = 86224^2 + 76295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13255505201 is a prime.

It is not a weakly prime, because it can be changed into another prime (13255505801) 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, 6627752600 + 6627752601.

It is an arithmetic number, because the mean of its divisors is an integer number (6627752601).

Almost surely, 213255505201 is an apocalyptic number.

It is an amenable number.

13255505201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13255505201 is an equidigital number, since it uses as much as digits as its factorization.

13255505201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 13255505201 in words is "thirteen billion, two hundred fifty-five million, five hundred five thousand, two hundred one".