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336317418313 is a prime number
BaseRepresentation
bin1001110010011100001…
…01001000101101001001
31012011002112120000212021
410321032011020231021
521002234224341223
6414300241244441
733204154613362
oct4711605105511
91164075500767
10336317418313
1111a6a44621a8
1255220033721
1325939c78846
14123c65c4b69
158b35c2065d
hex4e4e148b49

336317418313 has 2 divisors, whose sum is σ = 336317418314. Its totient is φ = 336317418312.

The previous prime is 336317418289. The next prime is 336317418323. The reversal of 336317418313 is 313814713633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282739983289 + 53577435024 = 531733^2 + 231468^2 .

It is an emirp because it is prime and its reverse (313814713633) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 336317418313 - 29 = 336317417801 is a prime.

It is a super-2 number, since 2×3363174183132 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336317418313.

It is not a weakly prime, because it can be changed into another prime (336317418323) 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, 168158709156 + 168158709157.

It is an arithmetic number, because the mean of its divisors is an integer number (168158709157).

Almost surely, 2336317418313 is an apocalyptic number.

It is an amenable number.

336317418313 is a deficient number, since it is larger than the sum of its proper divisors (1).

336317418313 is an equidigital number, since it uses as much as digits as its factorization.

336317418313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 43.

The spelling of 336317418313 in words is "three hundred thirty-six billion, three hundred seventeen million, four hundred eighteen thousand, three hundred thirteen".