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11022111011 is a prime number
BaseRepresentation
bin10100100001111100…
…00001000100100011
31001110011001020211202
422100332001010203
5140033130023021
65021414031415
7540065253302
oct122076010443
931404036752
1011022111011
11474677015a
12217734856b
1310686998a2
14767bc8439
154479aaa0b
hex290f81123

11022111011 has 2 divisors, whose sum is σ = 11022111012. Its totient is φ = 11022111010.

The previous prime is 11022110987. The next prime is 11022111013. The reversal of 11022111011 is 11011122011.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11022111011 is a prime.

It is a super-2 number, since 2×110221110112 (a number of 21 digits) contains 22 as substring.

Together with 11022111013, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11022110983 and 11022111001.

It is not a weakly prime, because it can be changed into another prime (11022111013) 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, 5511055505 + 5511055506.

It is an arithmetic number, because the mean of its divisors is an integer number (5511055506).

Almost surely, 211022111011 is an apocalyptic number.

11022111011 is a deficient number, since it is larger than the sum of its proper divisors (1).

11022111011 is an equidigital number, since it uses as much as digits as its factorization.

11022111011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11022111011 its reverse (11011122011), we get a palindrome (22033233022).

The spelling of 11022111011 in words is "eleven billion, twenty-two million, one hundred eleven thousand, eleven".