Search a number
-
+
317431601 is a prime number
BaseRepresentation
bin10010111010111…
…001111100110001
3211010022012021222
4102322321330301
51122230302401
651255354425
710603060364
oct2272717461
9733265258
10317431601
11153200073
128a382a15
13509c2166
14302300db
151cd03c1b
hex12eb9f31

317431601 has 2 divisors, whose sum is σ = 317431602. Its totient is φ = 317431600.

The previous prime is 317431589. The next prime is 317431607. The reversal of 317431601 is 106134713.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289816576 + 27615025 = 17024^2 + 5255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-317431601 is a prime.

It is not a weakly prime, because it can be changed into another prime (317431607) 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, 158715800 + 158715801.

It is an arithmetic number, because the mean of its divisors is an integer number (158715801).

Almost surely, 2317431601 is an apocalyptic number.

It is an amenable number.

317431601 is a deficient number, since it is larger than the sum of its proper divisors (1).

317431601 is an equidigital number, since it uses as much as digits as its factorization.

317431601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 317431601 is about 17816.6102556014. The cubic root of 317431601 is about 682.1555022761.

The spelling of 317431601 in words is "three hundred seventeen million, four hundred thirty-one thousand, six hundred one".