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13332520217 is a prime number
BaseRepresentation
bin11000110101010111…
…00001110100011001
31021102011111012110002
430122223201310121
5204301111121332
610042550102345
7651251360222
oct143253416431
937364435402
1013332520217
115721950855
12270104a9b5
131346247923
149069a6249
15530736562
hex31aae1d19

13332520217 has 2 divisors, whose sum is σ = 13332520218. Its totient is φ = 13332520216.

The previous prime is 13332520183. The next prime is 13332520237. The reversal of 13332520217 is 71202523331.

13332520217 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., 8659977481 + 4672542736 = 93059^2 + 68356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13332520217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13332520217.

It is not a weakly prime, because it can be changed into another prime (13332520237) 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, 6666260108 + 6666260109.

It is an arithmetic number, because the mean of its divisors is an integer number (6666260109).

Almost surely, 213332520217 is an apocalyptic number.

It is an amenable number.

13332520217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332520217 is an equidigital number, since it uses as much as digits as its factorization.

13332520217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 13332520217 in words is "thirteen billion, three hundred thirty-two million, five hundred twenty thousand, two hundred seventeen".