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3313300110149 is a prime number
BaseRepresentation
bin110000001101110000000…
…100110111101101000101
3102201202012120200220101102
4300031300010313231011
5413241114312011044
611014035320105445
7461243444152661
oct60156004675505
912652176626342
103313300110149
111068187597647
12456181605285
131b059ac69473
14b65165a58a1
155b2be88624e
hex30370137b45

3313300110149 has 2 divisors, whose sum is σ = 3313300110150. Its totient is φ = 3313300110148.

The previous prime is 3313300110139. The next prime is 3313300110151. The reversal of 3313300110149 is 9410110033133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3156598929124 + 156701181025 = 1776682^2 + 395855^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3313300110149 is a prime.

Together with 3313300110151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3313300110139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656650055074 + 1656650055075.

It is an arithmetic number, because the mean of its divisors is an integer number (1656650055075).

Almost surely, 23313300110149 is an apocalyptic number.

It is an amenable number.

3313300110149 is a deficient number, since it is larger than the sum of its proper divisors (1).

3313300110149 is an equidigital number, since it uses as much as digits as its factorization.

3313300110149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 3313300110149 in words is "three trillion, three hundred thirteen billion, three hundred million, one hundred ten thousand, one hundred forty-nine".