Search a number
-
+
3123122081 is a prime number
BaseRepresentation
bin1011101000100111…
…0000111110100001
322001122201001002012
42322021300332201
522344004401311
61233523202305
7140252046122
oct27211607641
98048631065
103123122081
111362a14932
12731b16395
133aa062541
14218ad6049
151342b478b
hexba270fa1

3123122081 has 2 divisors, whose sum is σ = 3123122082. Its totient is φ = 3123122080.

The previous prime is 3123122053. The next prime is 3123122083. The reversal of 3123122081 is 1802213213.

It is a happy number.

3123122081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1842126400 + 1280995681 = 42920^2 + 35791^2 .

It is a cyclic number.

It is not a de Polignac number, because 3123122081 - 226 = 3056013217 is a prime.

It is a super-2 number, since 2×31231220812 = 19507783065659541122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3123122083, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3123122083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561561040 + 1561561041.

It is an arithmetic number, because the mean of its divisors is an integer number (1561561041).

Almost surely, 23123122081 is an apocalyptic number.

It is an amenable number.

3123122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123122081 is an equidigital number, since it uses as much as digits as its factorization.

3123122081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 3123122081 is about 55884.9002951602. The cubic root of 3123122081 is about 1461.7159534394.

Adding to 3123122081 its reverse (1802213213), we get a palindrome (4925335294).

The spelling of 3123122081 in words is "three billion, one hundred twenty-three million, one hundred twenty-two thousand, eighty-one".