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2981311093 is a prime number
BaseRepresentation
bin1011000110110011…
…0011001001110101
321200202212021222101
42301230303021311
522101203423333
61211455502101
7133610504035
oct26154631165
97622767871
102981311093
11129a966172
126b2527931
1338686cb07
14203d3d8c5
15126b0167d
hexb1b33275

2981311093 has 2 divisors, whose sum is σ = 2981311094. Its totient is φ = 2981311092.

The previous prime is 2981311061. The next prime is 2981311117. The reversal of 2981311093 is 3901131892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1610978769 + 1370332324 = 40137^2 + 37018^2 .

It is a cyclic number.

It is not a de Polignac number, because 2981311093 - 25 = 2981311061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2981315093) 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, 1490655546 + 1490655547.

It is an arithmetic number, because the mean of its divisors is an integer number (1490655547).

Almost surely, 22981311093 is an apocalyptic number.

It is an amenable number.

2981311093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2981311093 is an equidigital number, since it uses as much as digits as its factorization.

2981311093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 2981311093 is about 54601.3836180000. The cubic root of 2981311093 is about 1439.2484332017.

The spelling of 2981311093 in words is "two billion, nine hundred eighty-one million, three hundred eleven thousand, ninety-three".