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313441003321 is a prime number
BaseRepresentation
bin1001000111110101000…
…10100010011100111001
31002222001020112202000221
410203322202202130321
520113411344101241
6355554240300041
731434234366055
oct4437242423471
91088036482027
10313441003321
11110a25303006
12508b6911621
132373269a304
14112562a6c65
1582476c35d1
hex48fa8a2739

313441003321 has 2 divisors, whose sum is σ = 313441003322. Its totient is φ = 313441003320.

The previous prime is 313441003289. The next prime is 313441003331. The reversal of 313441003321 is 123300144313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223860513321 + 89580490000 = 473139^2 + 299300^2 .

It is a cyclic number.

It is not a de Polignac number, because 313441003321 - 25 = 313441003289 is a prime.

It is not a weakly prime, because it can be changed into another prime (313441003331) 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, 156720501660 + 156720501661.

It is an arithmetic number, because the mean of its divisors is an integer number (156720501661).

Almost surely, 2313441003321 is an apocalyptic number.

It is an amenable number.

313441003321 is a deficient number, since it is larger than the sum of its proper divisors (1).

313441003321 is an equidigital number, since it uses as much as digits as its factorization.

313441003321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 313441003321 its reverse (123300144313), we get a palindrome (436741147634).

The spelling of 313441003321 in words is "three hundred thirteen billion, four hundred forty-one million, three thousand, three hundred twenty-one".