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111123221121 = 321110631055933
BaseRepresentation
bin110011101111101110…
…1011100101010000001
3101121211100221112002100
41213133131130222001
53310040021033441
6123014352141013
711012510536413
oct1473735345201
9347740845070
10111123221121
1143144185830
1219652b37769
13a62c11b1a3
1455424489b3
152d55a18cb6
hex19df75ca81

111123221121 has 24 divisors (see below), whose sum is σ = 175268149056. Its totient is φ = 67283987040.

The previous prime is 111123221117. The next prime is 111123221123. The reversal of 111123221121 is 121122321111.

It is a happy number.

It is not a de Polignac number, because 111123221121 - 22 = 111123221117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111123221094 and 111123221103.

It is not an unprimeable number, because it can be changed into a prime (111123221123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422730 + ... + 633203.

It is an arithmetic number, because the mean of its divisors is an integer number (7302839544).

Almost surely, 2111123221121 is an apocalyptic number.

111123221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111123221121 is a deficient number, since it is larger than the sum of its proper divisors (64144927935).

111123221121 is a wasteful number, since it uses less digits than its factorization.

111123221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057013 (or 1057010 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 111123221121 its reverse (121122321111), we get a palindrome (232245542232).

It can be divided in two parts, 1111 and 23221121, that added together give a palindrome (23222232).

The spelling of 111123221121 in words is "one hundred eleven billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 1063 3189 9567 11693 35079 105237 1055933 3167799 9503397 11615263 34845789 104537367 1122456779 3367370337 10102111011 12347024569 37041073707 111123221121