Search a number
-
+
13210151993 is a prime number
BaseRepresentation
bin11000100110110001…
…01110110000111001
31021002122020020210122
430103120232300321
5204023244330433
610022455223025
7645234303443
oct142330566071
937078206718
1013210151993
115669871795
122688077a75
131326aa1aac
148d4631493
15524b14198
hex31362ec39

13210151993 has 2 divisors, whose sum is σ = 13210151994. Its totient is φ = 13210151992.

The previous prime is 13210151987. The next prime is 13210152017. The reversal of 13210151993 is 39915101231.

13210151993 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., 7297772329 + 5912379664 = 85427^2 + 76892^2 .

It is a cyclic number.

It is not a de Polignac number, because 13210151993 - 226 = 13143043129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13210151953) 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, 6605075996 + 6605075997.

It is an arithmetic number, because the mean of its divisors is an integer number (6605075997).

Almost surely, 213210151993 is an apocalyptic number.

It is an amenable number.

13210151993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13210151993 is an equidigital number, since it uses as much as digits as its factorization.

13210151993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 35.

The spelling of 13210151993 in words is "thirteen billion, two hundred ten million, one hundred fifty-one thousand, nine hundred ninety-three".