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12335092313 is a prime number
BaseRepresentation
bin10110111110011101…
…01001001001011001
31011211122122121120212
423133032221021121
5200230240423223
65355555500505
7614450361155
oct133716511131
934748577525
1012335092313
11525a924475
122482bb7735
1312176cb3bb
14850328065
154c2db2278
hex2df3a9259

12335092313 has 2 divisors, whose sum is σ = 12335092314. Its totient is φ = 12335092312.

The previous prime is 12335092307. The next prime is 12335092337. The reversal of 12335092313 is 31329053321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6884518729 + 5450573584 = 82973^2 + 73828^2 .

It is an emirp because it is prime and its reverse (31329053321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12335092313 - 28 = 12335092057 is a prime.

It is a super-3 number, since 3×123350923133 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12335092313.

It is not a weakly prime, because it can be changed into another prime (12335092513) 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, 6167546156 + 6167546157.

It is an arithmetic number, because the mean of its divisors is an integer number (6167546157).

Almost surely, 212335092313 is an apocalyptic number.

It is an amenable number.

12335092313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12335092313 is an equidigital number, since it uses as much as digits as its factorization.

12335092313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The spelling of 12335092313 in words is "twelve billion, three hundred thirty-five million, ninety-two thousand, three hundred thirteen".