Search a number
-
+
11157225241 is a prime number
BaseRepresentation
bin10100110010000010…
…11011111100011001
31001210120021202201111
422121001123330121
5140322222201431
65043042020321
7543325564321
oct123101337431
931716252644
1011157225241
114805a65508
1221b46476a1
13108a686136
1477bb1a281
154547997b1
hex29905bf19

11157225241 has 2 divisors, whose sum is σ = 11157225242. Its totient is φ = 11157225240.

The previous prime is 11157225139. The next prime is 11157225263. The reversal of 11157225241 is 14252275111.

11157225241 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., 8334959616 + 2822265625 = 91296^2 + 53125^2 .

It is a cyclic number.

It is not a de Polignac number, because 11157225241 - 231 = 9009741593 is a prime.

It is not a weakly prime, because it can be changed into another prime (11157225041) 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, 5578612620 + 5578612621.

It is an arithmetic number, because the mean of its divisors is an integer number (5578612621).

Almost surely, 211157225241 is an apocalyptic number.

It is an amenable number.

11157225241 is a deficient number, since it is larger than the sum of its proper divisors (1).

11157225241 is an equidigital number, since it uses as much as digits as its factorization.

11157225241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5600, while the sum is 31.

The spelling of 11157225241 in words is "eleven billion, one hundred fifty-seven million, two hundred twenty-five thousand, two hundred forty-one".