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3000083981 is a prime number
BaseRepresentation
bin1011001011010001…
…1010011000001101
321202002012001112112
42302310122120031
522121010141411
61213410113405
7134226202346
oct26264323015
97662161475
103000083981
1112aa518554
126b887b865
1338a71382b
142066290cd
151285adb8b
hexb2d1a60d

3000083981 has 2 divisors, whose sum is σ = 3000083982. Its totient is φ = 3000083980.

The previous prime is 3000083953. The next prime is 3000084007. The reversal of 3000083981 is 1893800003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2904239881 + 95844100 = 53891^2 + 9790^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000083981 - 218 = 2999821837 is a prime.

It is a super-2 number, since 2×30000839812 = 18001007786105616722, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000083081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500041990 + 1500041991.

It is an arithmetic number, because the mean of its divisors is an integer number (1500041991).

Almost surely, 23000083981 is an apocalyptic number.

It is an amenable number.

3000083981 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000083981 is an equidigital number, since it uses as much as digits as its factorization.

3000083981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 3000083981 is about 54773.0223832865. The cubic root of 3000083981 is about 1442.2630281331.

Adding to 3000083981 its reverse (1893800003), we get a palindrome (4893883984).

The spelling of 3000083981 in words is "three billion, eighty-three thousand, nine hundred eighty-one".