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13211949329 is a prime number
BaseRepresentation
bin11000100110111111…
…00101100100010001
31021002202121120021122
430103133211210101
5204024224334304
610023001532025
7645255500465
oct142337454421
937082546248
1013211949329
11566a88a097
1226887a4015
131327280bc7
148d497c4a5
15524d6b9be
hex3137e5911

13211949329 has 2 divisors, whose sum is σ = 13211949330. Its totient is φ = 13211949328.

The previous prime is 13211949299. The next prime is 13211949343. The reversal of 13211949329 is 92394911231.

13211949329 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., 12893148304 + 318801025 = 113548^2 + 17855^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211949329 - 28 = 13211949073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13211949329.

It is not a weakly prime, because it can be changed into another prime (13211949029) 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, 6605974664 + 6605974665.

It is an arithmetic number, because the mean of its divisors is an integer number (6605974665).

Almost surely, 213211949329 is an apocalyptic number.

It is an amenable number.

13211949329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211949329 is an equidigital number, since it uses as much as digits as its factorization.

13211949329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 44.

The spelling of 13211949329 in words is "thirteen billion, two hundred eleven million, nine hundred forty-nine thousand, three hundred twenty-nine".