Base | Representation |
---|---|
bin | 10010101010111… |
… | …000011111000100 |
3 | 210211101210120021 |
4 | 102222320133010 |
5 | 1120141400200 |
6 | 51025344524 |
7 | 10522264534 |
oct | 2252703704 |
9 | 724353507 |
10 | 313231300 |
11 | 1508a1348 |
12 | 88a98144 |
13 | 4cb81385 |
14 | 2d8594c4 |
15 | 1c77441a |
hex | 12ab87c4 |
313231300 has 36 divisors (see below), whose sum is σ = 686463876. Its totient is φ = 124048000.
The previous prime is 313231297. The next prime is 313231301. The reversal of 313231300 is 3132313.
It can be written as a sum of positive squares in 6 ways, for example, as 15116544 + 298114756 = 3888^2 + 17266^2 .
It is a super-2 number, since 2×3132313002 = 196227694599380000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (313231301) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5407 + ... + 25606.
It is an arithmetic number, because the mean of its divisors is an integer number (19068441).
Almost surely, 2313231300 is an apocalyptic number.
It is an amenable number.
313231300 is an abundant number, since it is smaller than the sum of its proper divisors (373232576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313231300 is a wasteful number, since it uses less digits than its factorization.
313231300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31128 (or 31121 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 16.
The square root of 313231300 is about 17698.3417302300. The cubic root of 313231300 is about 679.1333393928.
Adding to 313231300 its reverse (3132313), we get a palindrome (316363613).
Multiplying 313231300 by its reverse (3132313), we get a square (981138472996900 = 313231302).
313231300 divided by its reverse (3132313) gives a square (100 = 102).
It can be divided in two parts, 31323 and 1300, that added together give a palindrome (32623).
The spelling of 313231300 in words is "three hundred thirteen million, two hundred thirty-one thousand, three hundred".
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