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314041321333 is a prime number
BaseRepresentation
bin1001001000111100101…
…00100100011101110101
31010000121002011001112101
410210132110210131311
520121124034240313
6400134003222101
731455144121255
oct4443624443565
91100532131471
10314041321333
111112031588a3
1250a43977931
13237c9b7787c
14112b1cd3965
1582802555dd
hex491e524775

314041321333 has 2 divisors, whose sum is σ = 314041321334. Its totient is φ = 314041321332.

The previous prime is 314041321331. The next prime is 314041321337. The reversal of 314041321333 is 333123140413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307051190884 + 6990130449 = 554122^2 + 83607^2 .

It is a cyclic number.

It is not a de Polignac number, because 314041321333 - 21 = 314041321331 is a prime.

Together with 314041321331, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314041321331) 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, 157020660666 + 157020660667.

It is an arithmetic number, because the mean of its divisors is an integer number (157020660667).

Almost surely, 2314041321333 is an apocalyptic number.

It is an amenable number.

314041321333 is a deficient number, since it is larger than the sum of its proper divisors (1).

314041321333 is an equidigital number, since it uses as much as digits as its factorization.

314041321333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 314041321333 its reverse (333123140413), we get a palindrome (647164461746).

The spelling of 314041321333 in words is "three hundred fourteen billion, forty-one million, three hundred twenty-one thousand, three hundred thirty-three".