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314200241 is a prime number
BaseRepresentation
bin10010101110100…
…101000010110001
3210220020000200222
4102232211002301
51120413401431
651102222425
710533441455
oct2256450261
9726200628
10314200241
111513a3323
1289284a15
1350130404
142da2c665
151c8b657b
hex12ba50b1

314200241 has 2 divisors, whose sum is σ = 314200242. Its totient is φ = 314200240.

The previous prime is 314200213. The next prime is 314200247. The reversal of 314200241 is 142002413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297217600 + 16982641 = 17240^2 + 4121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314200241 is a prime.

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 (314200247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157100120 + 157100121.

It is an arithmetic number, because the mean of its divisors is an integer number (157100121).

Almost surely, 2314200241 is an apocalyptic number.

It is an amenable number.

314200241 is a deficient number, since it is larger than the sum of its proper divisors (1).

314200241 is an equidigital number, since it uses as much as digits as its factorization.

314200241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 314200241 is about 17725.6943728589. The cubic root of 314200241 is about 679.8328892991.

Adding to 314200241 its reverse (142002413), we get a palindrome (456202654).

The spelling of 314200241 in words is "three hundred fourteen million, two hundred thousand, two hundred forty-one".