Search a number
-
+
3331314302861 is a prime number
BaseRepresentation
bin110000011110100001110…
…011100011111110001101
3102210110201000120201011002
4300132201303203332031
5414040012430142421
611030215030510045
7462452034236156
oct60364163437615
912713630521132
103331314302861
111074891093216
1245976a505325
131b21ac0c8aac
14b7344c4892d
155b9c60e4b0b
hex307a1ce3f8d

3331314302861 has 2 divisors, whose sum is σ = 3331314302862. Its totient is φ = 3331314302860.

The previous prime is 3331314302843. The next prime is 3331314302893. The reversal of 3331314302861 is 1682034131333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2392002492100 + 939311810761 = 1546610^2 + 969181^2 .

It is a cyclic number.

It is not a de Polignac number, because 3331314302861 - 214 = 3331314286477 is a prime.

It is a super-3 number, since 3×33313143028613 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3331314802861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1665657151430 + 1665657151431.

It is an arithmetic number, because the mean of its divisors is an integer number (1665657151431).

Almost surely, 23331314302861 is an apocalyptic number.

It is an amenable number.

3331314302861 is a deficient number, since it is larger than the sum of its proper divisors (1).

3331314302861 is an equidigital number, since it uses as much as digits as its factorization.

3331314302861 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 3331314302861 in words is "three trillion, three hundred thirty-one billion, three hundred fourteen million, three hundred two thousand, eight hundred sixty-one".