Search a number
-
+
317270000753 is a prime number
BaseRepresentation
bin1001001110111101100…
…01000000010001110001
31010022221002110222001122
410213132301000101301
520144232110011003
6401430221112025
731631150336636
oct4473661002161
91108832428048
10317270000753
1111260a70a4a2
12515a50b8615
1323bc2a48274
14114daa2618d
1583bd91b238
hex49dec40471

317270000753 has 2 divisors, whose sum is σ = 317270000754. Its totient is φ = 317270000752.

The previous prime is 317270000699. The next prime is 317270000807. The reversal of 317270000753 is 357000072713.

It is a balanced prime because it is at equal distance from previous prime (317270000699) and next prime (317270000807).

It can be written as a sum of positive squares in only one way, i.e., 312685627489 + 4584373264 = 559183^2 + 67708^2 .

It is an emirp because it is prime and its reverse (357000072713) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 317270000753 - 210 = 317269999729 is a prime.

It is a super-3 number, since 3×3172700007533 (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (317270000353) 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, 158635000376 + 158635000377.

It is an arithmetic number, because the mean of its divisors is an integer number (158635000377).

Almost surely, 2317270000753 is an apocalyptic number.

It is an amenable number.

317270000753 is a deficient number, since it is larger than the sum of its proper divisors (1).

317270000753 is an equidigital number, since it uses as much as digits as its factorization.

317270000753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 35.

The spelling of 317270000753 in words is "three hundred seventeen billion, two hundred seventy million, seven hundred fifty-three", and thus it is an aban number.