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13133005229 is a prime number
BaseRepresentation
bin11000011101100100…
…11100000110101101
31020220021001210100002
430032302130012231
5203344022131404
610011101514045
7643306462661
oct141662340655
936807053302
1013133005229
11562a26a233
122666272925
131313b00316
148c82ac8a1
1551ce75c1e
hex30ec9c1ad

13133005229 has 2 divisors, whose sum is σ = 13133005230. Its totient is φ = 13133005228.

The previous prime is 13133005153. The next prime is 13133005247. The reversal of 13133005229 is 92250033131.

13133005229 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., 11688853225 + 1444152004 = 108115^2 + 38002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13133005229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133005829) 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, 6566502614 + 6566502615.

It is an arithmetic number, because the mean of its divisors is an integer number (6566502615).

Almost surely, 213133005229 is an apocalyptic number.

It is an amenable number.

13133005229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133005229 is an equidigital number, since it uses as much as digits as its factorization.

13133005229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

The spelling of 13133005229 in words is "thirteen billion, one hundred thirty-three million, five thousand, two hundred twenty-nine".