Base | Representation |
---|---|
bin | 11101000101000011… |
… | …011111011001010000 |
3 | 2222121000011200201001 |
4 | 131011003133121100 |
5 | 1002421132022000 |
6 | 22202131551344 |
7 | 2153512534654 |
oct | 350503373120 |
9 | 88530150631 |
10 | 31223314000 |
11 | 12272823a3a |
12 | 607475b554 |
13 | 2c37960238 |
14 | 1722ac6a64 |
15 | c2b21c46a |
hex | 7450df650 |
31223314000 has 80 divisors (see below), whose sum is σ = 78101496720. Its totient is φ = 12058636800.
The previous prime is 31223313977. The next prime is 31223314009. The reversal of 31223314000 is 41332213.
It can be written as a sum of positive squares in 8 ways, for example, as 16279718464 + 14943595536 = 127592^2 + 122244^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31223314009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211167 + ... + 327166.
It is an arithmetic number, because the mean of its divisors is an integer number (976268709).
Almost surely, 231223314000 is an apocalyptic number.
It is an amenable number.
31223314000 is an abundant number, since it is smaller than the sum of its proper divisors (46878182720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31223314000 is a wasteful number, since it uses less digits than its factorization.
31223314000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 538385 (or 538369 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
Adding to 31223314000 its reverse (41332213), we get a palindrome (31264646213).
The spelling of 31223314000 in words is "thirty-one billion, two hundred twenty-three million, three hundred fourteen thousand".
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