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11112133329 = 32115321110037
BaseRepresentation
bin10100101100101010…
…11011001011010001
31001200102102212020200
422112111123023101
5140224201231304
65034351325413
7542240401113
oct122625331321
931612385220
1011112133329
114792567270
1221a1520869
131081228a2b
14775b3d3b3
1545083de39
hex29655b2d1

11112133329 has 48 divisors (see below), whose sum is σ = 17926743744. Its totient is φ = 6575587200.

The previous prime is 11112133321. The next prime is 11112133367. The reversal of 11112133329 is 92333121111.

11112133329 is a `hidden beast` number, since 1 + 111 + 213 + 332 + 9 = 666.

11112133329 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 11112133329 - 23 = 11112133321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11112133321) 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, 1102099 + ... + 1112135.

It is an arithmetic number, because the mean of its divisors is an integer number (373473828).

Almost surely, 211112133329 is an apocalyptic number.

It is an amenable number.

11112133329 is a deficient number, since it is larger than the sum of its proper divisors (6814610415).

11112133329 is a wasteful number, since it uses less digits than its factorization.

11112133329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10315 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

It can be divided in two parts, 11112 and 133329, that added together give a palindrome (144441).

The spelling of 11112133329 in words is "eleven billion, one hundred twelve million, one hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 9 11 33 53 99 159 211 477 583 633 1749 1899 2321 5247 6963 10037 11183 20889 30111 33549 90333 100647 110407 123013 331221 369039 531961 993663 1107117 1595883 2117807 4787649 5851571 6353421 17554713 19060263 23295877 52664139 69887631 112243771 209662893 336731313 1010193939 1234681481 3704044443 11112133329