Search a number
-
+
3362018129 is a prime number
BaseRepresentation
bin1100100001100100…
…0101001101010001
322200022020012211222
43020121011031101
523341134040004
61313335414425
7146212453061
oct31031051521
98608205758
103362018129
111475853a88
12799b24415
134176b7a52
1423c7213a1
1514a2537be
hexc8645351

3362018129 has 2 divisors, whose sum is σ = 3362018130. Its totient is φ = 3362018128.

The previous prime is 3362018117. The next prime is 3362018131. The reversal of 3362018129 is 9218102633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2859361729 + 502656400 = 53473^2 + 22420^2 .

It is a cyclic number.

It is not a de Polignac number, because 3362018129 - 28 = 3362017873 is a prime.

It is a super-2 number, since 2×33620181292 = 22606331799449321282, which contains 22 as substring.

Together with 3362018131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3362018189) 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, 1681009064 + 1681009065.

It is an arithmetic number, because the mean of its divisors is an integer number (1681009065).

Almost surely, 23362018129 is an apocalyptic number.

It is an amenable number.

3362018129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3362018129 is an equidigital number, since it uses as much as digits as its factorization.

3362018129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3362018129 is about 57982.9123880476. The cubic root of 3362018129 is about 1498.0742886671.

The spelling of 3362018129 in words is "three billion, three hundred sixty-two million, eighteen thousand, one hundred twenty-nine".