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313104749 is a prime number
BaseRepresentation
bin10010101010011…
…001100101101101
3210211011100222012
4102222121211231
51120123322444
651022531005
710521226556
oct2252314555
9724140865
10313104749
11150815261
1288a36a65
134cb388a9
142d82532d
151c74bb9e
hex12a9996d

313104749 has 2 divisors, whose sum is σ = 313104750. Its totient is φ = 313104748.

The previous prime is 313104721. The next prime is 313104751. The reversal of 313104749 is 947401313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313042249 + 62500 = 17693^2 + 250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313104749 is a prime.

Together with 313104751, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p16923245 and since 313104749 and 16923245 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313104709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156552374 + 156552375.

It is an arithmetic number, because the mean of its divisors is an integer number (156552375).

Almost surely, 2313104749 is an apocalyptic number.

It is an amenable number.

313104749 is a deficient number, since it is larger than the sum of its proper divisors (1).

313104749 is an equidigital number, since it uses as much as digits as its factorization.

313104749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 313104749 is about 17694.7661470843. The cubic root of 313104749 is about 679.0418664352.

The spelling of 313104749 in words is "three hundred thirteen million, one hundred four thousand, seven hundred forty-nine".