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11111201121 = 3193728118749
BaseRepresentation
bin10100101100100011…
…10111100101100001
31001200100200111111110
422112101313211201
5140223431413441
65034315333533
7542226436236
oct122621674541
931610614443
1011111201121
114791a8a949
1221a11512a9
131080c90627
1477597978d
15450707b16
hex296477961

11111201121 has 32 divisors (see below), whose sum is σ = 16074000000. Its totient is φ = 6803274240.

The previous prime is 11111201113. The next prime is 11111201149. The reversal of 11111201121 is 12110211111.

11111201121 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 11111201121 - 23 = 11111201113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111201097 and 11111201106.

It is not an unprimeable number, because it can be changed into a prime (11111202121) 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 31 ways as a sum of consecutive naturals, for example, 583255 + ... + 602003.

It is an arithmetic number, because the mean of its divisors is an integer number (502312500).

Almost surely, 211111201121 is an apocalyptic number.

It is an amenable number.

11111201121 is a deficient number, since it is larger than the sum of its proper divisors (4962798879).

11111201121 is a wasteful number, since it uses less digits than its factorization.

11111201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19089.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111201121 its reverse (12110211111), we get a palindrome (23221412232).

The spelling of 11111201121 in words is "eleven billion, one hundred eleven million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 19 37 57 111 281 703 843 2109 5339 10397 16017 18749 31191 56247 197543 356231 592629 693713 1068693 2081139 5268469 13180547 15805407 39541641 100100911 194933353 300302733 584800059 3703733707 11111201121