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3305321137 is a prime number
BaseRepresentation
bin1100010100000011…
…0011001010110001
322112100112201012101
43011000303022301
523232130234022
61303552300401
7144623523526
oct30500631261
98470481171
103305321137
111446849768
12782b41701
13408a26331
14234da314d
151452a4627
hexc50332b1

3305321137 has 2 divisors, whose sum is σ = 3305321138. Its totient is φ = 3305321136.

The previous prime is 3305321113. The next prime is 3305321141. The reversal of 3305321137 is 7311235033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3289710736 + 15610401 = 57356^2 + 3951^2 .

It is a cyclic number.

It is not a de Polignac number, because 3305321137 - 211 = 3305319089 is a prime.

It is a super-3 number, since 3×33053211373 (a number of 30 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3305321167) 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, 1652660568 + 1652660569.

It is an arithmetic number, because the mean of its divisors is an integer number (1652660569).

Almost surely, 23305321137 is an apocalyptic number.

It is an amenable number.

3305321137 is a deficient number, since it is larger than the sum of its proper divisors (1).

3305321137 is an equidigital number, since it uses as much as digits as its factorization.

3305321137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 3305321137 is about 57491.9223630590. The cubic root of 3305321137 is about 1489.6053392230.

The spelling of 3305321137 in words is "three billion, three hundred five million, three hundred twenty-one thousand, one hundred thirty-seven".