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112122311121 = 3237336703637
BaseRepresentation
bin110100001101100000…
…0101011000111010001
3101201101222220112220200
41220123000223013101
53314111302423441
6123301442125413
711046331630302
oct1503300530721
9351358815820
10112122311121
1143607137947
1219891650869
13a75b0ca0c2
1455d8dda7a9
152db35ba7b6
hex1a1b02b1d1

112122311121 has 12 divisors (see below), whose sum is σ = 166331597172. Its totient is φ = 72727985376.

The previous prime is 112122311117. The next prime is 112122311129. The reversal of 112122311121 is 121113221211.

It is a happy number.

112122311121 is a `hidden beast` number, since 112 + 122 + 311 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59743580625 + 52378730496 = 244425^2 + 228864^2 .

It is not a de Polignac number, because 112122311121 - 22 = 112122311117 is a prime.

It is a super-2 number, since 2×1121223111212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112122311094 and 112122311103.

It is not an unprimeable number, because it can be changed into a prime (112122311129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168351486 + ... + 168352151.

It is an arithmetic number, because the mean of its divisors is an integer number (13860966431).

Almost surely, 2112122311121 is an apocalyptic number.

It is an amenable number.

112122311121 is a deficient number, since it is larger than the sum of its proper divisors (54209286051).

112122311121 is a wasteful number, since it uses less digits than its factorization.

112122311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336703680 (or 336703677 counting only the distinct ones).

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

Adding to 112122311121 its reverse (121113221211), we get a palindrome (233235532332).

The spelling of 112122311121 in words is "one hundred twelve billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 37 111 333 336703637 1010110911 3030332733 12458034569 37374103707 112122311121