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13223313029 is a prime number
BaseRepresentation
bin11000101000010101…
…11011111010000101
31021010112222220100102
430110022323322011
5204040132004104
610024045253445
7645454210013
oct142412737205
937115886312
1013223313029
115676240883
122690564285
13132972c3a4
148d62998b3
15525d63a1e
hex3142bbe85

13223313029 has 2 divisors, whose sum is σ = 13223313030. Its totient is φ = 13223313028.

The previous prime is 13223312987. The next prime is 13223313041. The reversal of 13223313029 is 92031332231.

13223313029 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., 12167193025 + 1056120004 = 110305^2 + 32498^2 .

It is a cyclic number.

It is not a de Polignac number, because 13223313029 - 212 = 13223308933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13223312992 and 13223313010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13223313529) 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, 6611656514 + 6611656515.

It is an arithmetic number, because the mean of its divisors is an integer number (6611656515).

Almost surely, 213223313029 is an apocalyptic number.

It is an amenable number.

13223313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13223313029 is an equidigital number, since it uses as much as digits as its factorization.

13223313029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 13223313029 in words is "thirteen billion, two hundred twenty-three million, three hundred thirteen thousand, twenty-nine".