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311658049 is a prime number
BaseRepresentation
bin10010100100111…
…000011001000001
3210201102212110201
4102210320121001
51114241024144
650531525201
710503023023
oct2244703101
9721385421
10311658049
1114aa1733a
1288459801
134c750261
142d56a013
151c5631d4
hex12938641

311658049 has 2 divisors, whose sum is σ = 311658050. Its totient is φ = 311658048.

The previous prime is 311658043. The next prime is 311658077. The reversal of 311658049 is 940856113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219632400 + 92025649 = 14820^2 + 9593^2 .

It is a cyclic number.

It is not a de Polignac number, because 311658049 - 27 = 311657921 is a prime.

It is equal to p16849108 and since 311658049 and 16849108 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 311657999 and 311658017.

It is not a weakly prime, because it can be changed into another prime (311658043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155829024 + 155829025.

It is an arithmetic number, because the mean of its divisors is an integer number (155829025).

Almost surely, 2311658049 is an apocalyptic number.

It is an amenable number.

311658049 is a deficient number, since it is larger than the sum of its proper divisors (1).

311658049 is an equidigital number, since it uses as much as digits as its factorization.

311658049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 311658049 is about 17653.8394974011. The cubic root of 311658049 is about 677.9944142328.

The spelling of 311658049 in words is "three hundred eleven million, six hundred fifty-eight thousand, forty-nine".