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11133023121 = 32111729228103
BaseRepresentation
bin10100101111001010…
…00111001110010001
31001201212202011122200
422113211013032101
5140300023214441
65040415153413
7542613064233
oct122745071621
931655664580
1011133023121
1147a3335060
1221a8515869
13108566115c
1477881a253
154525b87b6
hex297947391

11133023121 has 48 divisors (see below), whose sum is σ = 19215480960. Its totient is φ = 6131381760.

The previous prime is 11133023119. The next prime is 11133023207. The reversal of 11133023121 is 12132033111.

11133023121 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 11133023121 - 21 = 11133023119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11133023094 and 11133023103.

It is not an unprimeable number, because it can be changed into a prime (11133023101) 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, 65245 + ... + 162858.

It is an arithmetic number, because the mean of its divisors is an integer number (400322520).

Almost surely, 211133023121 is an apocalyptic number.

11133023121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11133023121 is a deficient number, since it is larger than the sum of its proper divisors (8082457839).

11133023121 is a wasteful number, since it uses less digits than its factorization.

11133023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228166 (or 228163 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133023121 its reverse (12132033111), we get a palindrome (23265056232).

The spelling of 11133023121 in words is "eleven billion, one hundred thirty-three million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 493 561 957 1479 1683 2871 4437 5423 16269 48807 228103 684309 2052927 2509133 3877751 6614987 7527399 11633253 19844961 22582197 34899759 42655261 59534883 72764857 112454779 127965783 218294571 337364337 383897349 654883713 1012093011 1237002569 3711007707 11133023121