Search a number
-
+
2010083681 is a prime number
BaseRepresentation
bin111011111001111…
…0111000101100001
312012002022211102202
41313303313011201
513104040134211
6531243022545
7100545300164
oct16763670541
95162284382
102010083681
11941704691
1248120aa55
13260598038
14150d61adb
15bb70553b
hex77cf7161

2010083681 has 2 divisors, whose sum is σ = 2010083682. Its totient is φ = 2010083680.

The previous prime is 2010083653. The next prime is 2010083731. The reversal of 2010083681 is 1863800102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1258830400 + 751253281 = 35480^2 + 27409^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010083681 - 222 = 2005889377 is a prime.

It is a super-2 number, since 2×20100836812 = 8080872809245019522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2010083611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005041840 + 1005041841.

It is an arithmetic number, because the mean of its divisors is an integer number (1005041841).

Almost surely, 22010083681 is an apocalyptic number.

It is an amenable number.

2010083681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010083681 is an equidigital number, since it uses as much as digits as its factorization.

2010083681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2010083681 is about 44833.9567850084. The cubic root of 2010083681 is about 1262.0349415558.

Adding to 2010083681 its reverse (1863800102), we get a palindrome (3873883783).

The spelling of 2010083681 in words is "two billion, ten million, eighty-three thousand, six hundred eighty-one".