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3312132312133 is a prime number
BaseRepresentation
bin110000001100101010011…
…110000100110001000101
3102201122012012021121200001
4300030222132010301011
5413231221332442013
611013323402121301
7461202504064021
oct60145236046105
912648165247601
103312132312133
111067738385717
12455ab64b0231
131b044303b318
14b6445459381
155b2520abddd
hex3032a784c45

3312132312133 has 2 divisors, whose sum is σ = 3312132312134. Its totient is φ = 3312132312132.

The previous prime is 3312132312119. The next prime is 3312132312179.

It is a happy number.

3312132312133 is nontrivially palindromic in base 10.

3312132312133 is digitally balanced in base 3, 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., 3143787863329 + 168344448804 = 1773073^2 + 410298^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3312132312133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3312132312103) 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, 1656066156066 + 1656066156067.

It is an arithmetic number, because the mean of its divisors is an integer number (1656066156067).

Almost surely, 23312132312133 is an apocalyptic number.

It is an amenable number.

3312132312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3312132312133 is an equidigital number, since it uses as much as digits as its factorization.

3312132312133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 28.

The spelling of 3312132312133 in words is "three trillion, three hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred thirty-three".