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313461289 is a prime number
BaseRepresentation
bin10010101011110…
…000101000101001
3210211211111001101
4102223300220221
51120221230124
651034321401
710524243211
oct2253605051
9724744041
10313461289
11150a39119
1288b89261
134cc31c6b
142d8b9241
151c7bc644
hex12af0a29

313461289 has 2 divisors, whose sum is σ = 313461290. Its totient is φ = 313461288.

The previous prime is 313461287. The next prime is 313461301. The reversal of 313461289 is 982164313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187909264 + 125552025 = 13708^2 + 11205^2 .

It is a cyclic number.

It is not a de Polignac number, because 313461289 - 21 = 313461287 is a prime.

Together with 313461287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (313461287) 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, 156730644 + 156730645.

It is an arithmetic number, because the mean of its divisors is an integer number (156730645).

Almost surely, 2313461289 is an apocalyptic number.

It is an amenable number.

313461289 is a deficient number, since it is larger than the sum of its proper divisors (1).

313461289 is an equidigital number, since it uses as much as digits as its factorization.

313461289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31104, while the sum is 37.

The square root of 313461289 is about 17704.8380111200. The cubic root of 313461289 is about 679.2995158308.

The spelling of 313461289 in words is "three hundred thirteen million, four hundred sixty-one thousand, two hundred eighty-nine".