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11311203321 = 32112334391117
BaseRepresentation
bin10101000100011001…
…10100001111111001
31002012022000122221100
422202030310033321
5141131132001241
65110222202013
7550205433105
oct124214641771
932168018840
1011311203321
114884974520
122238123309
1310b3548922
1479435c905
154630629b6
hex2a23343f9

11311203321 has 48 divisors (see below), whose sum is σ = 17957047680. Its totient is φ = 6804207360.

The previous prime is 11311203307. The next prime is 11311203391. The reversal of 11311203321 is 12330211311.

11311203321 is a `hidden beast` number, since 1 + 1 + 311 + 20 + 332 + 1 = 666.

11311203321 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 11311203321 - 217 = 11311072249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11311203294 and 11311203303.

It is not an unprimeable number, because it can be changed into a prime (11311203391) 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, 10125855 + ... + 10126971.

It is an arithmetic number, because the mean of its divisors is an integer number (374105160).

Almost surely, 211311203321 is an apocalyptic number.

11311203321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11311203321 is a deficient number, since it is larger than the sum of its proper divisors (6645844359).

11311203321 is a wasteful number, since it uses less digits than its factorization.

11311203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1803 counting only the distinct ones).

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

Adding to 11311203321 its reverse (12330211311), we get a palindrome (23641414632).

The spelling of 11311203321 in words is "eleven billion, three hundred eleven million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 233 439 699 1117 1317 2097 2563 3351 3951 4829 7689 10053 12287 14487 23067 36861 43461 102287 110583 260261 306861 490363 780783 920583 1125157 1471089 2342349 2862871 3375471 4413267 5393993 8588613 10126413 16181979 25765839 48545937 114254579 342763737 1028291211 1256800369 3770401107 11311203321