Search a number
-
+
330030137 is a prime number
BaseRepresentation
bin10011101010111…
…101110000111001
3212000000021020102
4103222331300321
51133441431022
652425405145
711115131663
oct2352756071
9760007212
10330030137
1115a325588
12926397b5
13534b3708
1431b8d533
151de91a92
hex13abdc39

330030137 has 2 divisors, whose sum is σ = 330030138. Its totient is φ = 330030136.

The previous prime is 330030119. The next prime is 330030139. The reversal of 330030137 is 731030033.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 327646201 + 2383936 = 18101^2 + 1544^2 .

It is an emirp because it is prime and its reverse (731030033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330030137 - 26 = 330030073 is a prime.

Together with 330030139, 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 (330030139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165015068 + 165015069.

It is an arithmetic number, because the mean of its divisors is an integer number (165015069).

Almost surely, 2330030137 is an apocalyptic number.

It is an amenable number.

330030137 is a deficient number, since it is larger than the sum of its proper divisors (1).

330030137 is an equidigital number, since it uses as much as digits as its factorization.

330030137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 20.

The square root of 330030137 is about 18166.7315992723. The cubic root of 330030137 is about 691.0633586663.

The spelling of 330030137 in words is "three hundred thirty million, thirty thousand, one hundred thirty-seven".