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11033310393 = 3271919148259
BaseRepresentation
bin10100100011010001…
…01111010010111001
31001110221010020111200
422101220233102321
5140044011413033
65022454044413
7540262406460
oct122150572271
931427106450
1011033310393
11475201a446
12217b049709
13106aabb341
147694a19d7
1544896e013
hex291a2f4b9

11033310393 has 48 divisors (see below), whose sum is σ = 19273113600. Its totient is φ = 5941524960.

The previous prime is 11033310383. The next prime is 11033310413. The reversal of 11033310393 is 39301333011.

It is a happy number.

11033310393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11033310393 - 26 = 11033310329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11033310313) 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 in 47 ways as a sum of consecutive naturals, for example, 204498 + ... + 252756.

It is an arithmetic number, because the mean of its divisors is an integer number (401523200).

Almost surely, 211033310393 is an apocalyptic number.

It is an amenable number.

11033310393 is a deficient number, since it is larger than the sum of its proper divisors (8239803207).

11033310393 is a wasteful number, since it uses less digits than its factorization.

11033310393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48482 (or 48479 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The spelling of 11033310393 in words is "eleven billion, thirty-three million, three hundred ten thousand, three hundred ninety-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 191 399 573 1197 1337 1719 3629 4011 10887 12033 25403 32661 48259 76209 144777 228627 337813 434331 916921 1013439 2750763 3040317 6418447 8252289 9217469 19255341 27652407 57766023 64522283 82957221 175131911 193566849 525395733 580700547 1225923377 1576187199 3677770131 11033310393