Search a number
-
+
11355224141 is a prime number
BaseRepresentation
bin10101001001101001…
…01111100001001101
31002022100212011011002
422210310233201031
5141223414133031
65114433510045
7551251545512
oct124464574115
932270764132
1011355224141
1148a7800a68
12224aa12325
1310bc6bc651
1479a13b309
15466d5accb
hex2a4d2f84d

11355224141 has 2 divisors, whose sum is σ = 11355224142. Its totient is φ = 11355224140.

The previous prime is 11355224123. The next prime is 11355224147. The reversal of 11355224141 is 14142255311.

It is a happy number.

11355224141 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., 10992474025 + 362750116 = 104845^2 + 19046^2 .

It is a cyclic number.

It is not a de Polignac number, because 11355224141 - 26 = 11355224077 is a prime.

It is a super-2 number, since 2×113552241412 (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 (11355224147) 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, 5677612070 + 5677612071.

It is an arithmetic number, because the mean of its divisors is an integer number (5677612071).

Almost surely, 211355224141 is an apocalyptic number.

It is an amenable number.

11355224141 is a deficient number, since it is larger than the sum of its proper divisors (1).

11355224141 is an equidigital number, since it uses as much as digits as its factorization.

11355224141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800, while the sum is 29.

Adding to 11355224141 its reverse (14142255311), we get a palindrome (25497479452).

The spelling of 11355224141 in words is "eleven billion, three hundred fifty-five million, two hundred twenty-four thousand, one hundred forty-one".