Base | Representation |
---|---|
bin | 100110101111… |
… | …0110100010000 |
3 | 1102012220212211 |
4 | 1031132310100 |
5 | 20144430222 |
6 | 2003201504 |
7 | 334433440 |
oct | 115366420 |
9 | 42186784 |
10 | 20311312 |
11 | 1051320a |
12 | 6976294 |
13 | 4292038 |
14 | 29aa120 |
15 | 1bb3277 |
hex | 135ed10 |
20311312 has 40 divisors (see below), whose sum is σ = 45310592. Its totient is φ = 8640000.
The previous prime is 20311307. The next prime is 20311321. The reversal of 20311312 is 21311302.
It is a super-2 number, since 2×203113122 = 825098790322688, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 20311292 and 20311301.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16312 + ... + 17512.
Almost surely, 220311312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22655296).
20311312 is an abundant number, since it is smaller than the sum of its proper divisors (24999280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20311312 is a wasteful number, since it uses less digits than its factorization.
20311312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 20311312 is about 4506.8072956362. The cubic root of 20311312 is about 272.8429013806.
Adding to 20311312 its reverse (21311302), we get a palindrome (41622614).
The spelling of 20311312 in words is "twenty million, three hundred eleven thousand, three hundred twelve".
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