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13221302293 is a prime number
BaseRepresentation
bin11000101000000110…
…10001000000010101
31021010102012202010201
430110003101000111
5204034123133133
610023534220501
7645431133553
oct142403210025
937112182121
1013221302293
115675098111
12268b954731
1313291a70c4
148d5cd4bd3
15525ab7d7d
hex3140d1015

13221302293 has 2 divisors, whose sum is σ = 13221302294. Its totient is φ = 13221302292.

The previous prime is 13221302207. The next prime is 13221302329. The reversal of 13221302293 is 39220312231.

Together with next prime (13221302329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13078667044 + 142635249 = 114362^2 + 11943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221302293 is a prime.

It is a super-3 number, since 3×132213022933 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221302593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610651146 + 6610651147.

It is an arithmetic number, because the mean of its divisors is an integer number (6610651147).

Almost surely, 213221302293 is an apocalyptic number.

It is an amenable number.

13221302293 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221302293 is an equidigital number, since it uses as much as digits as its factorization.

13221302293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 13221302293 in words is "thirteen billion, two hundred twenty-one million, three hundred two thousand, two hundred ninety-three".