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314133341 is a prime number
BaseRepresentation
bin10010101110010…
…100101101011101
3210220002121221012
4102232110231131
51120404231331
651100545005
710533042434
oct2256245535
9726077835
10314133341
11151358035
1289252165
1350108b22
142da1211b
151c8a182b
hex12b94b5d

314133341 has 2 divisors, whose sum is σ = 314133342. Its totient is φ = 314133340.

The previous prime is 314133329. The next prime is 314133343. The reversal of 314133341 is 143331413.

Adding to 314133341 its reverse (143331413), we get a palindrome (457464754).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229401316 + 84732025 = 15146^2 + 9205^2 .

It is a cyclic number.

It is not a de Polignac number, because 314133341 - 210 = 314132317 is a prime.

Together with 314133343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314133343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157066670 + 157066671.

It is an arithmetic number, because the mean of its divisors is an integer number (157066671).

Almost surely, 2314133341 is an apocalyptic number.

It is an amenable number.

314133341 is a deficient number, since it is larger than the sum of its proper divisors (1).

314133341 is an equidigital number, since it uses as much as digits as its factorization.

314133341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 23.

The square root of 314133341 is about 17723.8071813028. The cubic root of 314133341 is about 679.7846355183.

The spelling of 314133341 in words is "three hundred fourteen million, one hundred thirty-three thousand, three hundred forty-one".