| Base | Representation |
|---|---|
| bin | 1001000011011111011… |
| … | …10100011111100000000 |
| 3 | 1002202000221100022121100 |
| 4 | 10201233232203330000 |
| 5 | 20044124200401422 |
| 6 | 354531204254400 |
| 7 | 31322435255661 |
| oct | 4415756437400 |
| 9 | 1082027308540 |
| 10 | 311112122112 |
| 11 | 10aa3a7560a0 |
| 12 | 503669a1400 |
| 13 | 234510524ac |
| 14 | 110b4c7b368 |
| 15 | 815cee97ac |
| hex | 486fba3f00 |
311112122112 has 216 divisors, whose sum is σ = 990952784640. Its totient is φ = 93082429440.
The previous prime is 311112122093. The next prime is 311112122129. The reversal of 311112122112 is 211221211113.
It is a happy number.
311112122112 is a `hidden beast` number, since 311 + 1 + 121 + 221 + 12 = 666.
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is an insolite number, because it is divisible by the sum (32) and by the product (2304) of the squares 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 23 ways as a sum of consecutive naturals, for example, 1924483 + ... + 2079869.
Almost surely, 2311112122112 is an apocalyptic number.
311112122112 is a gapful number since it is divisible by the number (32) 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 311112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495476392320).
311112122112 is an abundant number, since it is smaller than the sum of its proper divisors (679840662528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311112122112 is a wasteful number, since it uses less digits than its factorization.
311112122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155499 (or 155482 counting only the distinct ones).
The product of its digits is 48, while the sum is 18.
Adding to 311112122112 its reverse (211221211113), we get a palindrome (522333333225).
The spelling of 311112122112 in words is "three hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".
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