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11323133424 = 2433171541821
BaseRepresentation
bin10101000101110100…
…10100110111110000
31002020010110202222000
422202322110313300
5141142210232144
65111330014000
7550412021541
oct124272246760
932203422860
1011323133424
114890682809
122240117300
1310b5b64b65
14795b864c8
1546411c769
hex2a2e94df0

11323133424 has 80 divisors (see below), whose sum is σ = 34413467040. Its totient is φ = 3552353280.

The previous prime is 11323133417. The next prime is 11323133443. The reversal of 11323133424 is 42433132311.

It is a happy number.

11323133424 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 313 + 342 + 4 = 666.

11323133424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 763567 + ... + 778254.

It is an arithmetic number, because the mean of its divisors is an integer number (430168338).

Almost surely, 211323133424 is an apocalyptic number.

It is an amenable number.

11323133424 is an abundant number, since it is smaller than the sum of its proper divisors (23090333616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11323133424 is a wasteful number, since it uses less digits than its factorization.

11323133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541855 (or 1541843 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 11323133424 its reverse (42433132311), we get a palindrome (53756265735).

The spelling of 11323133424 in words is "eleven billion, three hundred twenty-three million, one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 1541821 3083642 4625463 6167284 9250926 12334568 13876389 18501852 24669136 26210957 27752778 37003704 41629167 52421914 55505556 74007408 78632871 83258334 104843828 111011112 157265742 166516668 209687656 222022224 235898613 314531484 333033336 419375312 471797226 629062968 666066672 707695839 943594452 1258125936 1415391678 1887188904 2830783356 3774377808 5661566712 11323133424