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11121546641 is a prime number
BaseRepresentation
bin10100101101110010…
…10101010110010001
31001201002011002212212
422112321111112101
5140234103443031
65035325201505
7542413405142
oct122671252621
931632132785
1011121546641
114797906667
1221a4700295
13108317353a
147770adac9
1545159d12b
hex296e55591

11121546641 has 2 divisors, whose sum is σ = 11121546642. Its totient is φ = 11121546640.

The previous prime is 11121546637. The next prime is 11121546647. The reversal of 11121546641 is 14664512111.

11121546641 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., 7973775616 + 3147771025 = 89296^2 + 56105^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121546641 - 22 = 11121546637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11121546598 and 11121546607.

It is not a weakly prime, because it can be changed into another prime (11121546647) 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, 5560773320 + 5560773321.

It is an arithmetic number, because the mean of its divisors is an integer number (5560773321).

Almost surely, 211121546641 is an apocalyptic number.

It is an amenable number.

11121546641 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121546641 is an equidigital number, since it uses as much as digits as its factorization.

11121546641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 32.

The spelling of 11121546641 in words is "eleven billion, one hundred twenty-one million, five hundred forty-six thousand, six hundred forty-one".