| Base | Representation |
|---|---|
| bin | 1100010010011111011… |
| … | …1010111000000111000 |
| 3 | 202011221110201001120200 |
| 4 | 3010213313113000320 |
| 5 | 11424334242033422 |
| 6 | 240553241522200 |
| 7 | 21152543161425 |
| oct | 3044767270070 |
| 9 | 664843631520 |
| 10 | 211122221112 |
| 11 | 81599a98580 |
| 12 | 34b004a3360 |
| 13 | 16ba766a6ba |
| 14 | a30b2c8d4c |
| 15 | 5759b072ac |
| hex | 3127dd7038 |
211122221112 has 192 divisors, whose sum is σ = 674347939200. Its totient is φ = 58971006720.
The previous prime is 211122221033. The next prime is 211122221173.
211122221112 is a `hidden beast` number, since 211 + 122 + 221 + 112 = 666.
211122221112 is nontrivially palindromic in base 10.
211122221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367183 + ... + 746369.
It is an arithmetic number, because the mean of its divisors is an integer number (3512228850).
Almost surely, 2211122221112 is an apocalyptic number.
211122221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211122221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337173969600).
211122221112 is an abundant number, since it is smaller than the sum of its proper divisors (463225718088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211122221112 is a wasteful number, since it uses less digits than its factorization.
211122221112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 379266 (or 379259 counting only the distinct ones).
The product of its digits is 64, while the sum is 18.
It can be divided in two parts, 211122 and 221112, that added together give a palindrome (432234).
The spelling of 211122221112 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".
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