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3214105313 is a prime number
BaseRepresentation
bin1011111110010011…
…0101101011100001
322021222220110121112
42333210311223201
523040302332223
61250533233105
7142435305266
oct27744655341
98258813545
103214105313
1113aa307991
12758492795
133c2b69b83
14226c1b26d
1513c287778
hexbf935ae1

3214105313 has 2 divisors, whose sum is σ = 3214105314. Its totient is φ = 3214105312.

The previous prime is 3214105309. The next prime is 3214105403. The reversal of 3214105313 is 3135014123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3159226849 + 54878464 = 56207^2 + 7408^2 .

It is an emirp because it is prime and its reverse (3135014123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3214105313 - 22 = 3214105309 is a prime.

It is not a weakly prime, because it can be changed into another prime (3214105613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1607052656 + 1607052657.

It is an arithmetic number, because the mean of its divisors is an integer number (1607052657).

Almost surely, 23214105313 is an apocalyptic number.

It is an amenable number.

3214105313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3214105313 is an equidigital number, since it uses as much as digits as its factorization.

3214105313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3214105313 is about 56693.0799392660. The cubic root of 3214105313 is about 1475.7746099694.

Adding to 3214105313 its reverse (3135014123), we get a palindrome (6349119436).

The spelling of 3214105313 in words is "three billion, two hundred fourteen million, one hundred five thousand, three hundred thirteen".