Search a number
-
+
45111181 is a prime number
BaseRepresentation
bin1010110000010…
…1011110001101
310010212212220111
42230011132031
543022024211
64250520021
71055303323
oct254053615
9103785814
1045111181
1123511775
1213136011
13946610b
145dc3d13
153e61421
hex2b0578d

45111181 has 2 divisors, whose sum is σ = 45111182. Its totient is φ = 45111180.

The previous prime is 45111179. The next prime is 45111191. The reversal of 45111181 is 18111154.

45111181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42693156 + 2418025 = 6534^2 + 1555^2 .

It is a cyclic number.

It is not a de Polignac number, because 45111181 - 21 = 45111179 is a prime.

It is a super-5 number, since 5×451111815 (a number of 39 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

Together with 45111179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45111151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22555590 + 22555591.

It is an arithmetic number, because the mean of its divisors is an integer number (22555591).

Almost surely, 245111181 is an apocalyptic number.

It is an amenable number.

45111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

45111181 is an equidigital number, since it uses as much as digits as its factorization.

45111181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 22.

The square root of 45111181 is about 6716.4857626589. The cubic root of 45111181 is about 355.9820220901.

The spelling of 45111181 in words is "forty-five million, one hundred eleven thousand, one hundred eighty-one".