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11320202133 = 323724611993
BaseRepresentation
bin10101000101011110…
…01001001110010101
31002012220221211222200
422202233021032111
5141140432432013
65111143115113
7550345062522
oct124257111625
932186854880
1011320202133
114889a60459
12223b142a99
1310b5379876
14795622149
15463c3de73
hex2a2bc9395

11320202133 has 36 divisors (see below), whose sum is σ = 16850181348. Its totient is φ = 7323229440.

The previous prime is 11320202119. The next prime is 11320202143. The reversal of 11320202133 is 33120202311.

11320202133 is a `hidden beast` number, since 11 + 320 + 202 + 133 = 666.

11320202133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2449953009 + 8870249124 = 49497^2 + 94182^2 .

It is not a de Polignac number, because 11320202133 - 28 = 11320201877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320202143) 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 35 ways as a sum of consecutive naturals, for example, 5678985 + ... + 5680977.

It is an arithmetic number, because the mean of its divisors is an integer number (468060593).

Almost surely, 211320202133 is an apocalyptic number.

It is an amenable number.

11320202133 is a deficient number, since it is larger than the sum of its proper divisors (5529979215).

11320202133 is a wasteful number, since it uses less digits than its factorization.

11320202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320202133 its reverse (33120202311), we get a palindrome (44440404444).

The spelling of 11320202133 in words is "eleven billion, three hundred twenty million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 333 461 1369 1383 1993 4107 4149 5979 12321 17057 17937 51171 73741 153513 221223 631109 663669 918773 1893327 2728417 2756319 5679981 8185251 8268957 24555753 33994601 101983803 305951409 1257800237 3773400711 11320202133