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3000213017 is a prime number
BaseRepresentation
bin1011001011010011…
…1001111000011001
321202002102121112122
42302310321320121
522121023304032
61213412551025
7134230250504
oct26264717031
97662377478
103000213017
1112aa5a649a
126b8922475
1338a75a499
1420666013b
151285d7012
hexb2d39e19

3000213017 has 2 divisors, whose sum is σ = 3000213018. Its totient is φ = 3000213016.

The previous prime is 3000212987. The next prime is 3000213019. The reversal of 3000213017 is 7103120003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1919841856 + 1080371161 = 43816^2 + 32869^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000213017 - 224 = 2983435801 is a prime.

Together with 3000213019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000212986 and 3000213004.

It is not a weakly prime, because it can be changed into another prime (3000213019) 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, 1500106508 + 1500106509.

It is an arithmetic number, because the mean of its divisors is an integer number (1500106509).

Almost surely, 23000213017 is an apocalyptic number.

It is an amenable number.

3000213017 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000213017 is an equidigital number, since it uses as much as digits as its factorization.

3000213017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 3000213017 is about 54774.2002862662. The cubic root of 3000213017 is about 1442.2837054636.

The spelling of 3000213017 in words is "three billion, two hundred thirteen thousand, seventeen".