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11031133133 is a prime number
BaseRepresentation
bin10100100011000000…
…11011101111001101
31001110210000121212102
422101200123233031
5140042432230013
65022335244445
7540235040666
oct122140335715
931423017772
1011031133133
114750872659
12217a379725
13106a508317
1476909636d
1544868dd58
hex29181bbcd

11031133133 has 2 divisors, whose sum is σ = 11031133134. Its totient is φ = 11031133132.

The previous prime is 11031133103. The next prime is 11031133151. The reversal of 11031133133 is 33133113011.

11031133133 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., 9462814729 + 1568318404 = 97277^2 + 39602^2 .

It is a cyclic number.

It is not a de Polignac number, because 11031133133 - 210 = 11031132109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11031133103) 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, 5515566566 + 5515566567.

It is an arithmetic number, because the mean of its divisors is an integer number (5515566567).

Almost surely, 211031133133 is an apocalyptic number.

It is an amenable number.

11031133133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11031133133 is an equidigital number, since it uses as much as digits as its factorization.

11031133133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 11031133133 its reverse (33133113011), we get a palindrome (44164246144).

The spelling of 11031133133 in words is "eleven billion, thirty-one million, one hundred thirty-three thousand, one hundred thirty-three".