Search a number
-
+
13223001193 is a prime number
BaseRepresentation
bin11000101000010011…
…01111110001101001
31021010112102001120221
430110021233301221
5204040042014233
610024034450041
7645451440613
oct142411576151
937115361527
1013223001193
115676048566
122690433921
13132965047c
148d6217db3
15525d0142d
hex31426fc69

13223001193 has 2 divisors, whose sum is σ = 13223001194. Its totient is φ = 13223001192.

The previous prime is 13223001191. The next prime is 13223001223. The reversal of 13223001193 is 39110032231.

13223001193 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., 12816051264 + 406949929 = 113208^2 + 20173^2 .

It is a cyclic number.

It is not a de Polignac number, because 13223001193 - 21 = 13223001191 is a prime.

Together with 13223001191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13223001191) 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, 6611500596 + 6611500597.

It is an arithmetic number, because the mean of its divisors is an integer number (6611500597).

Almost surely, 213223001193 is an apocalyptic number.

It is an amenable number.

13223001193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223001193 is an equidigital number, since it uses as much as digits as its factorization.

13223001193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 13223001193 in words is "thirteen billion, two hundred twenty-three million, one thousand, one hundred ninety-three".