Search a number
-
+
112112222002121 = 113110115672077343
BaseRepresentation
bin11001011111011100101001…
…001010101101101111001001
3112200221211020111220000100002
4121133130221022231233021
5104143321312313031441
61034235351015452345
732420561242352435
oct3137345112555711
9480854214800302
10112112222002121
11327a4587619180
12106a81243870b5
134a731a2498883
141d98390b3b9c5
15ce64698edb9b
hex65f7292adbc9

112112222002121 has 32 divisors (see below), whose sum is σ = 127580962553856. Its totient is φ = 97593527160000.

The previous prime is 112112222002097. The next prime is 112112222002153. The reversal of 112112222002121 is 121200222211211.

It is a cyclic number.

It is not a de Polignac number, because 112112222002121 - 222 = 112112217807817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112112222002093 and 112112222002102.

It is not an unprimeable number, because it can be changed into a prime (112112222052121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52930376 + ... + 55007718.

It is an arithmetic number, because the mean of its divisors is an integer number (3986905079808).

Almost surely, 2112112222002121 is an apocalyptic number.

112112222002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112222002121 is a deficient number, since it is larger than the sum of its proper divisors (15468740551735).

112112222002121 is a wasteful number, since it uses less digits than its factorization.

112112222002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079053.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 112112222002121 its reverse (121200222211211), we get a palindrome (233312444213332).

The spelling of 112112222002121 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred twenty-two million, two thousand, one hundred twenty-one".

Divisors: 1 11 31 101 341 1111 1567 3131 17237 34441 48577 158267 534347 1740937 2077343 4906277 22850773 53969047 64397633 209811643 708373963 2307928073 3255196481 6504160933 35807161291 71545770263 100911090911 328774844581 1110022000021 3616523290391 10192020182011 112112222002121