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13222336157 is a prime number
BaseRepresentation
bin11000101000001110…
…01101011010011101
31021010111011021022222
430110013031122131
5204034404224112
610024012315125
7645443001002
oct142407153235
937114137288
1013222336157
115675733948
122690172aa5
131329479864
148d60c38a9
15525c1e372
hex3141cd69d

13222336157 has 2 divisors, whose sum is σ = 13222336158. Its totient is φ = 13222336156.

The previous prime is 13222336133. The next prime is 13222336159. The reversal of 13222336157 is 75163322231.

13222336157 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., 13182254596 + 40081561 = 114814^2 + 6331^2 .

It is an emirp because it is prime and its reverse (75163322231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13222336157 - 26 = 13222336093 is a prime.

Together with 13222336159, 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 (13222336159) 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, 6611168078 + 6611168079.

It is an arithmetic number, because the mean of its divisors is an integer number (6611168079).

Almost surely, 213222336157 is an apocalyptic number.

It is an amenable number.

13222336157 is a deficient number, since it is larger than the sum of its proper divisors (1).

13222336157 is an equidigital number, since it uses as much as digits as its factorization.

13222336157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 35.

Adding to 13222336157 its reverse (75163322231), we get a palindrome (88385658388).

The spelling of 13222336157 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty-six thousand, one hundred fifty-seven".