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11105100641 is a prime number
BaseRepresentation
bin10100101011110101…
…00110001101100001
31001122221012120012202
422111322212031201
5140220401210031
65033540502545
7542123540465
oct122572461541
931587176182
1011105100641
1147895a3528
12219b0aaa55
13107c93598b
14774c2c4a5
1544ee002cb
hex295ea6361

11105100641 has 2 divisors, whose sum is σ = 11105100642. Its totient is φ = 11105100640.

The previous prime is 11105100623. The next prime is 11105100647. The reversal of 11105100641 is 14600150111.

It is a happy number.

11105100641 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., 7276090000 + 3829010641 = 85300^2 + 61879^2 .

It is a cyclic number.

It is not a de Polignac number, because 11105100641 - 26 = 11105100577 is a prime.

It is a super-2 number, since 2×111051006412 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11105100647) 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, 5552550320 + 5552550321.

It is an arithmetic number, because the mean of its divisors is an integer number (5552550321).

Almost surely, 211105100641 is an apocalyptic number.

It is an amenable number.

11105100641 is a deficient number, since it is larger than the sum of its proper divisors (1).

11105100641 is an equidigital number, since it uses as much as digits as its factorization.

11105100641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

Adding to 11105100641 its reverse (14600150111), we get a palindrome (25705250752).

The spelling of 11105100641 in words is "eleven billion, one hundred five million, one hundred thousand, six hundred forty-one".