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2146048181 is a prime number
BaseRepresentation
bin111111111101010…
…0001100010110101
312112120011112122222
41333322201202311
513343342020211
6552541132125
7104116052144
oct17772414265
95476145588
102146048181
11a0142a842
124ba85a045
132827c15c4
1416503575b
15c86111db
hex7fea18b5

2146048181 has 2 divisors, whose sum is σ = 2146048182. Its totient is φ = 2146048180.

The previous prime is 2146048139. The next prime is 2146048183. The reversal of 2146048181 is 1818406412.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2140450225 + 5597956 = 46265^2 + 2366^2 .

It is a cyclic number.

It is not a de Polignac number, because 2146048181 - 222 = 2141853877 is a prime.

It is a super-2 number, since 2×21460481812 = 9211045590346817522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2146048183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2146048183) 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, 1073024090 + 1073024091.

It is an arithmetic number, because the mean of its divisors is an integer number (1073024091).

Almost surely, 22146048181 is an apocalyptic number.

It is an amenable number.

2146048181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2146048181 is an equidigital number, since it uses as much as digits as its factorization.

2146048181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 2146048181 is about 46325.4593177445. The cubic root of 2146048181 is about 1289.8716257486.

The spelling of 2146048181 in words is "two billion, one hundred forty-six million, forty-eight thousand, one hundred eighty-one".