Search a number
-
+
13311432221 is a prime number
BaseRepresentation
bin11000110010110110…
…00101011000011101
31021100200210211011012
430121123011120131
5204230211312341
610040514105005
7650604210203
oct143133053035
937320724135
1013311432221
115710a5805a
1226b5b7b165
131341a73219
14903c77073
1552d96d0eb
hex3196c561d

13311432221 has 2 divisors, whose sum is σ = 13311432222. Its totient is φ = 13311432220.

The previous prime is 13311432163. The next prime is 13311432223. The reversal of 13311432221 is 12223411331.

13311432221 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., 8466576196 + 4844856025 = 92014^2 + 69605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13311432221 is a prime.

Together with 13311432223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13311432223) 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, 6655716110 + 6655716111.

It is an arithmetic number, because the mean of its divisors is an integer number (6655716111).

Almost surely, 213311432221 is an apocalyptic number.

It is an amenable number.

13311432221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311432221 is an equidigital number, since it uses as much as digits as its factorization.

13311432221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

Adding to 13311432221 its reverse (12223411331), we get a palindrome (25534843552).

The spelling of 13311432221 in words is "thirteen billion, three hundred eleven million, four hundred thirty-two thousand, two hundred twenty-one".