Search a number
-
+
2109015149 is a prime number
BaseRepresentation
bin111110110110101…
…0000010001101101
312102222111001220012
41331231100101231
513304401441044
6545135303005
7103156222133
oct17555202155
95388431805
102109015149
1199253632a
124aa37aa65
13277c26377
14160155753
15c524859e
hex7db5046d

2109015149 has 2 divisors, whose sum is σ = 2109015150. Its totient is φ = 2109015148.

The previous prime is 2109015101. The next prime is 2109015151. The reversal of 2109015149 is 9415109012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2107452649 + 1562500 = 45907^2 + 1250^2 .

It is a cyclic number.

It is not a de Polignac number, because 2109015149 - 28 = 2109014893 is a prime.

It is a super-2 number, since 2×21090151492 = 8895889797422984402, which contains 22 as substring.

Together with 2109015151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2109015049) 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, 1054507574 + 1054507575.

It is an arithmetic number, because the mean of its divisors is an integer number (1054507575).

Almost surely, 22109015149 is an apocalyptic number.

It is an amenable number.

2109015149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2109015149 is an equidigital number, since it uses as much as digits as its factorization.

2109015149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 2109015149 is about 45924.0149486083. The cubic root of 2109015149 is about 1282.4090270832.

The spelling of 2109015149 in words is "two billion, one hundred nine million, fifteen thousand, one hundred forty-nine".