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13353638317 is a prime number
BaseRepresentation
bin11000110111111000…
…00101100110101101
31021110122020010000221
430123330011212231
5204322012411232
610045022451341
7651626024065
oct143374054655
937418203027
1013353638317
115732865128
122708133b51
13134a72cc46
149097023a5
15532508897
hex31bf059ad

13353638317 has 2 divisors, whose sum is σ = 13353638318. Its totient is φ = 13353638316.

The previous prime is 13353638257. The next prime is 13353638351. The reversal of 13353638317 is 71383635331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8844650116 + 4508988201 = 94046^2 + 67149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13353638317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13353638357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6676819158 + 6676819159.

It is an arithmetic number, because the mean of its divisors is an integer number (6676819159).

Almost surely, 213353638317 is an apocalyptic number.

It is an amenable number.

13353638317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13353638317 is an equidigital number, since it uses as much as digits as its factorization.

13353638317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 43.

The spelling of 13353638317 in words is "thirteen billion, three hundred fifty-three million, six hundred thirty-eight thousand, three hundred seventeen".