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13221331289 is a prime number
BaseRepresentation
bin11000101000000110…
…11000000101011001
31021010102021012220122
430110003120011121
5204034130100124
610023535003025
7645431314235
oct142403300531
937112235818
1013221331289
115675107981
12268b969475
1313291b736a
148d5d015c5
15525ac175e
hex3140d8159

13221331289 has 2 divisors, whose sum is σ = 13221331290. Its totient is φ = 13221331288.

The previous prime is 13221331261. The next prime is 13221331313. The reversal of 13221331289 is 98213312231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9013603600 + 4207727689 = 94940^2 + 64867^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221331289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221331219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610665644 + 6610665645.

It is an arithmetic number, because the mean of its divisors is an integer number (6610665645).

Almost surely, 213221331289 is an apocalyptic number.

It is an amenable number.

13221331289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221331289 is an equidigital number, since it uses as much as digits as its factorization.

13221331289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The spelling of 13221331289 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred eighty-nine".