Search a number
-
+
314305181 is a prime number
BaseRepresentation
bin10010101110111…
…110101010011101
3210220102100122122
4102232332222131
51120430231211
651104352325
710534356431
oct2256765235
9726370578
10314305181
11151465153
12893156a5
13501690c8
142da589c1
151c8d76db
hex12bbea9d

314305181 has 2 divisors, whose sum is σ = 314305182. Its totient is φ = 314305180.

The previous prime is 314305169. The next prime is 314305259. The reversal of 314305181 is 181503413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311840281 + 2464900 = 17659^2 + 1570^2 .

It is a cyclic number.

It is not a de Polignac number, because 314305181 - 226 = 247196317 is a prime.

It is a super-2 number, since 2×3143051812 = 197575493606885522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314305181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314305111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157152590 + 157152591.

It is an arithmetic number, because the mean of its divisors is an integer number (157152591).

Almost surely, 2314305181 is an apocalyptic number.

It is an amenable number.

314305181 is a deficient number, since it is larger than the sum of its proper divisors (1).

314305181 is an equidigital number, since it uses as much as digits as its factorization.

314305181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 314305181 is about 17728.6542354461. The cubic root of 314305181 is about 679.9085668587.

Adding to 314305181 its reverse (181503413), we get a palindrome (495808594).

The spelling of 314305181 in words is "three hundred fourteen million, three hundred five thousand, one hundred eighty-one".