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11311132033 is a prime number
BaseRepresentation
bin10101000100011001…
…00010110110000001
31002012021220001011001
422202030202312001
5141131122211113
65110220452001
7550205015215
oct124214426601
932167801131
1011311132033
114884925a03
1222380aa001
1310b3522346
14794340945
1546304b7dd
hex2a2322d81

11311132033 has 2 divisors, whose sum is σ = 11311132034. Its totient is φ = 11311132032.

The previous prime is 11311132031. The next prime is 11311132043. The reversal of 11311132033 is 33023111311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10861183089 + 449948944 = 104217^2 + 21212^2 .

It is an emirp because it is prime and its reverse (33023111311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11311132033 - 21 = 11311132031 is a prime.

Together with 11311132031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 11311132033.

It is not a weakly prime, because it can be changed into another prime (11311132031) 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, 5655566016 + 5655566017.

It is an arithmetic number, because the mean of its divisors is an integer number (5655566017).

Almost surely, 211311132033 is an apocalyptic number.

It is an amenable number.

11311132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311132033 is an equidigital number, since it uses as much as digits as its factorization.

11311132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11311132033 its reverse (33023111311), we get a palindrome (44334243344).

The spelling of 11311132033 in words is "eleven billion, three hundred eleven million, one hundred thirty-two thousand, thirty-three".