Search a number
-
+
3331021322081 is a prime number
BaseRepresentation
bin110000011110010000010…
…101111011011101100001
3102210102221121021202002002
4300132100111323131201
5414033412424301311
611030130003133345
7462441546032615
oct60362025733541
912712847252062
103331021322081
111074750773442
124596a8374255
131b21634b7b9b
14b7317d81345
155b9aa52093b
hex3079057b761

3331021322081 has 2 divisors, whose sum is σ = 3331021322082. Its totient is φ = 3331021322080.

The previous prime is 3331021322077. The next prime is 3331021322159. The reversal of 3331021322081 is 1802231201333.

3331021322081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3243183181456 + 87838140625 = 1800884^2 + 296375^2 .

It is an emirp because it is prime and its reverse (1802231201333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3331021322081 - 22 = 3331021322077 is a prime.

It is a super-2 number, since 2×33310213220812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3331021382081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665510661040 + 1665510661041.

It is an arithmetic number, because the mean of its divisors is an integer number (1665510661041).

Almost surely, 23331021322081 is an apocalyptic number.

It is an amenable number.

3331021322081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331021322081 is an equidigital number, since it uses as much as digits as its factorization.

3331021322081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 3331021322081 in words is "three trillion, three hundred thirty-one billion, twenty-one million, three hundred twenty-two thousand, eighty-one".