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9982820137 is a prime number
BaseRepresentation
bin10010100110000010…
…11011111100101001
3221202201102210210011
421103001123330221
5130421100221022
64330330251521
7502245366613
oct112301337451
927681383704
109982820137
114263050584
121b27286ba1
13c31283884
146a9b6ddb3
153d6617977
hex25305bf29

9982820137 has 2 divisors, whose sum is σ = 9982820138. Its totient is φ = 9982820136.

The previous prime is 9982820131. The next prime is 9982820143. The reversal of 9982820137 is 7310282899.

9982820137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (9982820131) and next prime (9982820143).

It can be written as a sum of positive squares in only one way, i.e., 8857821456 + 1124998681 = 94116^2 + 33541^2 .

It is an emirp because it is prime and its reverse (7310282899) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9982820137 - 27 = 9982820009 is a prime.

It is not a weakly prime, because it can be changed into another prime (9982820131) 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, 4991410068 + 4991410069.

It is an arithmetic number, because the mean of its divisors is an integer number (4991410069).

Almost surely, 29982820137 is an apocalyptic number.

It is an amenable number.

9982820137 is a deficient number, since it is larger than the sum of its proper divisors (1).

9982820137 is an equidigital number, since it uses as much as digits as its factorization.

9982820137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 9982820137 is about 99914.0637598131. The cubic root of 9982820137 is about 2153.2002197335.

The spelling of 9982820137 in words is "nine billion, nine hundred eighty-two million, eight hundred twenty thousand, one hundred thirty-seven".