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3124134003017 is a prime number
BaseRepresentation
bin101101011101100100111…
…001011100000101001001
3102001122221021021222222102
4231131210321130011021
5402141211301044032
610351112442003145
7441465644605316
oct55354471340511
912048837258872
103124134003017
11aa4a35220515
1242558a1a64b5
131987b23264b1
14ab2cd2b5d0d
15563ec5de362
hex2d764e5c149

3124134003017 has 2 divisors, whose sum is σ = 3124134003018. Its totient is φ = 3124134003016.

The previous prime is 3124134002981. The next prime is 3124134003019. The reversal of 3124134003017 is 7103004314213.

3124134003017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3119942864896 + 4191138121 = 1766336^2 + 64739^2 .

It is a cyclic number.

It is not a de Polignac number, because 3124134003017 - 226 = 3124066894153 is a prime.

It is a super-3 number, since 3×31241340030173 (a number of 38 digits) contains 333 as substring.

Together with 3124134003019, 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 (3124134003019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562067001508 + 1562067001509.

It is an arithmetic number, because the mean of its divisors is an integer number (1562067001509).

Almost surely, 23124134003017 is an apocalyptic number.

It is an amenable number.

3124134003017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3124134003017 is an equidigital number, since it uses as much as digits as its factorization.

3124134003017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 3124134003017 in words is "three trillion, one hundred twenty-four billion, one hundred thirty-four million, three thousand, seventeen".