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11132123211 = 3211234888943
BaseRepresentation
bin10100101111000011…
…01011100001001011
31001201211001110012200
422113201223201023
5140244310420321
65040344011243
7542602325466
oct122741534113
931654043180
1011132123211
1147a287aa30
1221a8160b23
131085407671
147786642dd
1545248bd26
hex29786b84b

11132123211 has 24 divisors (see below), whose sum is σ = 18304206336. Its totient is φ = 6453403440.

The previous prime is 11132123179. The next prime is 11132123227. The reversal of 11132123211 is 11232123111.

11132123211 is a `hidden beast` number, since 111 + 321 + 23 + 211 = 666.

11132123211 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 11132123211 - 25 = 11132123179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11132123291) 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 23 ways as a sum of consecutive naturals, for example, 2442195 + ... + 2446748.

It is an arithmetic number, because the mean of its divisors is an integer number (762675264).

Almost surely, 211132123211 is an apocalyptic number.

11132123211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132123211 is a deficient number, since it is larger than the sum of its proper divisors (7172083125).

11132123211 is a wasteful number, since it uses less digits than its factorization.

11132123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888983 (or 4888980 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11132123211 its reverse (11232123111), we get a palindrome (22364246322).

The spelling of 11132123211 in words is "eleven billion, one hundred thirty-two million, one hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 4888943 14666829 44000487 53778373 112445689 161335119 337337067 484005357 1012011201 1236902579 3710707737 11132123211