Search a number
-
+
11006061149 is a prime number
BaseRepresentation
bin10100100000000001…
…10010101001011101
31001102000211211120102
422100000302221131
5140020022424044
65020042030445
7536511655556
oct122000625135
931360754512
1011006061149
1147386a8706
122171aa8425
13106526a425
14765a0b32d
1544638a24e
hex290032a5d

11006061149 has 2 divisors, whose sum is σ = 11006061150. Its totient is φ = 11006061148.

The previous prime is 11006061139. The next prime is 11006061169. The reversal of 11006061149 is 94116060011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5966481049 + 5039580100 = 77243^2 + 70990^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006061149 - 24 = 11006061133 is a prime.

It is a super-2 number, since 2×110060611492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11006061109) 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, 5503030574 + 5503030575.

It is an arithmetic number, because the mean of its divisors is an integer number (5503030575).

Almost surely, 211006061149 is an apocalyptic number.

It is an amenable number.

11006061149 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006061149 is an equidigital number, since it uses as much as digits as its factorization.

11006061149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 11006061149 in words is "eleven billion, six million, sixty-one thousand, one hundred forty-nine".