Base | Representation |
---|---|
bin | 1000001111001100… |
… | …0110011101101000 |
3 | 12201002210011101212 |
4 | 2003303012131220 |
5 | 14012032223422 |
6 | 1003225532252 |
7 | 105536661425 |
oct | 20363063550 |
9 | 5632704355 |
10 | 2211211112 |
11 | a35197700 |
12 | 518644088 |
13 | 293158556 |
14 | 16d958d4c |
15 | ce1d39e2 |
hex | 83cc6768 |
2211211112 has 48 divisors (see below), whose sum is σ = 4563370980. Its totient is φ = 1003735040.
The previous prime is 2211211103. The next prime is 2211211133. The reversal of 2211211112 is 2111121122.
It can be written as a sum of positive squares in 2 ways, for example, as 2210316196 + 894916 = 47014^2 + 946^2 .
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177118 + ... + 1178994.
Almost surely, 22211211112 is an apocalyptic number.
2211211112 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 2211211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281685490).
2211211112 is an abundant number, since it is smaller than the sum of its proper divisors (2352159868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2211211112 is a wasteful number, since it uses less digits than its factorization.
2211211112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3122 (or 3107 counting only the distinct ones).
The product of its digits is 16, while the sum is 14.
The square root of 2211211112 is about 47023.5165847898. The cubic root of 2211211112 is about 1302.7969586796.
Adding to 2211211112 its reverse (2111121122), we get a palindrome (4322332234).
The spelling of 2211211112 in words is "two billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".
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