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13213455217 is a prime number
BaseRepresentation
bin11000100111001010…
…10101001101110001
31021002212110001222021
430103211111031301
5204030121031332
610023054111441
7645304342024
oct142345251561
937085401867
1013213455217
115670718526
1226891ab581
13132768a471
148d4c511bb
15525067c97
hex313955371

13213455217 has 2 divisors, whose sum is σ = 13213455218. Its totient is φ = 13213455216.

The previous prime is 13213455191. The next prime is 13213455259. The reversal of 13213455217 is 71255431231.

13213455217 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., 6854349681 + 6359105536 = 82791^2 + 79744^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213455217 - 27 = 13213455089 is a prime.

It is not a weakly prime, because it can be changed into another prime (13213455287) 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, 6606727608 + 6606727609.

It is an arithmetic number, because the mean of its divisors is an integer number (6606727609).

Almost surely, 213213455217 is an apocalyptic number.

It is an amenable number.

13213455217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213455217 is an equidigital number, since it uses as much as digits as its factorization.

13213455217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25200, while the sum is 34.

Adding to 13213455217 its reverse (71255431231), we get a palindrome (84468886448).

The spelling of 13213455217 in words is "thirteen billion, two hundred thirteen million, four hundred fifty-five thousand, two hundred seventeen".