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315311081 is a prime number
BaseRepresentation
bin10010110010110…
…100001111101001
3210222022110111012
4102302310033221
51121204423311
651142113305
710546046201
oct2262641751
9728273435
10315311081
11151a91978
128971b835
135042bc07
142dc3b401
151ca3578b
hex12cb43e9

315311081 has 2 divisors, whose sum is σ = 315311082. Its totient is φ = 315311080.

The previous prime is 315311047. The next prime is 315311089. The reversal of 315311081 is 180113513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171191056 + 144120025 = 13084^2 + 12005^2 .

It is an emirp because it is prime and its reverse (180113513) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-315311081 is a prime.

It is a super-3 number, since 3×3153110813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (315311089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157655540 + 157655541.

It is an arithmetic number, because the mean of its divisors is an integer number (157655541).

Almost surely, 2315311081 is an apocalyptic number.

It is an amenable number.

315311081 is a deficient number, since it is larger than the sum of its proper divisors (1).

315311081 is an equidigital number, since it uses as much as digits as its factorization.

315311081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 315311081 is about 17757.0009010531. Note that the first 3 decimals coincide. The cubic root of 315311081 is about 680.6331192565.

Adding to 315311081 its reverse (180113513), we get a palindrome (495424594).

The spelling of 315311081 in words is "three hundred fifteen million, three hundred eleven thousand, eighty-one".