Base | Representation |
---|---|
bin | 1001000101100001011… |
… | …01010000101011011010 |
3 | 1002211211220201002200200 |
4 | 10202300231100223122 |
5 | 20103342242100442 |
6 | 355231310443030 |
7 | 31361443523346 |
oct | 4426055205332 |
9 | 1084756632620 |
10 | 312202300122 |
11 | 11044a071a59 |
12 | 5060bb03476 |
13 | 23595b7463b |
14 | 11179980626 |
15 | 81c3a9034c |
hex | 48b0b50ada |
312202300122 has 24 divisors (see below), whose sum is σ = 681375828276. Its totient is φ = 103307816256.
The previous prime is 312202300097. The next prime is 312202300139. The reversal of 312202300122 is 221003202213.
312202300122 is a `hidden beast` number, since 312 + 2 + 0 + 230 + 0 + 122 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 311608451961 + 593848161 = 558219^2 + 24369^2 .
It is a super-3 number, since 3×3122023001223 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 312202300095 and 312202300104.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 63298893 + ... + 63303824.
Almost surely, 2312202300122 is an apocalyptic number.
312202300122 is an abundant number, since it is smaller than the sum of its proper divisors (369173528154).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312202300122 is a wasteful number, since it uses less digits than its factorization.
312202300122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126602862 (or 126602859 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 312202300122 its reverse (221003202213), we get a palindrome (533205502335).
The spelling of 312202300122 in words is "three hundred twelve billion, two hundred two million, three hundred thousand, one hundred twenty-two".
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