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11003312333 = 132193337349
BaseRepresentation
bin10100011111101100…
…10011100011001101
31001101211200011220102
422033312103203031
5140013321443313
65015503100445
7536446416536
oct121766234315
931354604812
1011003312333
1147370a0462
122170ba1725
131064817200
147654d368d
15445ee5a58
hex28fd938cd

11003312333 has 12 divisors (see below), whose sum is σ = 11976599700. Its totient is φ = 10104247296.

The previous prime is 11003312323. The next prime is 11003312429. The reversal of 11003312333 is 33321330011.

It can be written as a sum of positive squares in 6 ways, for example, as 810996484 + 10192315849 = 28478^2 + 100957^2 .

It is not a de Polignac number, because 11003312333 - 28 = 11003312077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136058 + ... + 201291.

It is an arithmetic number, because the mean of its divisors is an integer number (998049975).

Almost surely, 211003312333 is an apocalyptic number.

11003312333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11003312333 is a deficient number, since it is larger than the sum of its proper divisors (973287367).

11003312333 is a wasteful number, since it uses less digits than its factorization.

11003312333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337568 (or 337555 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 11003312333 its reverse (33321330011), we get a palindrome (44324642344).

The spelling of 11003312333 in words is "eleven billion, three million, three hundred twelve thousand, three hundred thirty-three".

Divisors: 1 13 169 193 2509 32617 337349 4385537 57011981 65108357 846408641 11003312333