Search a number
-
+
13133221093 is a prime number
BaseRepresentation
bin11000011101100110…
…10000110011100101
31020220021110202110001
430032303100303211
5203344101033333
610011110301301
7643311352216
oct141663206345
936807422401
1013133221093
11562a3a7433
122666357831
131313b77655
148c832740d
1551ceb9b7d
hex30ecd0ce5

13133221093 has 2 divisors, whose sum is σ = 13133221094. Its totient is φ = 13133221092.

The previous prime is 13133221069. The next prime is 13133221133. The reversal of 13133221093 is 39012233131.

13133221093 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., 7854036129 + 5279184964 = 88623^2 + 72658^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133221093 - 217 = 13133090021 is a prime.

It is a super-2 number, since 2×131332210932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133221033) 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, 6566610546 + 6566610547.

It is an arithmetic number, because the mean of its divisors is an integer number (6566610547).

Almost surely, 213133221093 is an apocalyptic number.

It is an amenable number.

13133221093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133221093 is an equidigital number, since it uses as much as digits as its factorization.

13133221093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 13133221093 in words is "thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, ninety-three".