Base | Representation |
---|---|
bin | 1001000101101110100… |
… | …11100011000100010100 |
3 | 1002212010122000020200000 |
4 | 10202313103203010110 |
5 | 20104104112001322 |
6 | 355250303251300 |
7 | 31364256462213 |
oct | 4426723430424 |
9 | 1085118006600 |
10 | 312313000212 |
11 | 1104a6601634 |
12 | 50640ba9b30 |
13 | 235b2a93555 |
14 | 1118a55907a |
15 | 81cd65a3ac |
hex | 48b74e3114 |
312313000212 has 144 divisors (see below), whose sum is σ = 824558280000. Its totient is φ = 103361702400.
The previous prime is 312313000183. The next prime is 312313000217. The reversal of 312313000212 is 212000313213.
312313000212 is a `hidden beast` number, since 312 + 31 + 300 + 0 + 21 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312313000217) 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 47 ways as a sum of consecutive naturals, for example, 89256039 + ... + 89259537.
Almost surely, 2312313000212 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 312313000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412279140000).
312313000212 is an abundant number, since it is smaller than the sum of its proper divisors (512245279788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312313000212 is a wasteful number, since it uses less digits than its factorization.
312313000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4148 (or 4134 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 312313000212 its reverse (212000313213), we get a palindrome (524313313425).
The spelling of 312313000212 in words is "three hundred twelve billion, three hundred thirteen million, two hundred twelve", and thus it is an aban number.
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