Base | Representation |
---|---|
bin | 110000000011001000010110… |
… | …110010000100101110101000 |
3 | 1000201020010101010200212020212 |
4 | 300003020112302010232220 |
5 | 210144242122424414422 |
6 | 2025235405524040252 |
7 | 62340315243133334 |
oct | 6003102662045650 |
9 | 1021203333625225 |
10 | 211321363123112 |
11 | 6137398338a100 |
12 | 1b84b5b4b33088 |
13 | 90bb699425a88 |
14 | 3a280196567c4 |
15 | 1966e486819e2 |
hex | c03216c84ba8 |
211321363123112 has 96 divisors (see below), whose sum is σ = 437714884454400. Its totient is φ = 95572265712000.
The previous prime is 211321363123111. The next prime is 211321363123121.
It is a happy number.
211321363123112 is nontrivially palindromic in base 10.
It is not an unprimeable number, because it can be changed into a prime (211321363123111) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334630937 + ... + 335261847.
It is an arithmetic number, because the mean of its divisors is an integer number (4559530046400).
Almost surely, 2211321363123112 is an apocalyptic number.
211321363123112 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 211321363123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218857442227200).
211321363123112 is an abundant number, since it is smaller than the sum of its proper divisors (226393521331288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211321363123112 is a wasteful number, since it uses less digits than its factorization.
211321363123112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 632679 (or 632664 counting only the distinct ones).
The product of its digits is 7776, while the sum is 32.
The spelling of 211321363123112 in words is "two hundred eleven trillion, three hundred twenty-one billion, three hundred sixty-three million, one hundred twenty-three thousand, one hundred twelve".
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