Base | Representation |
---|---|
bin | 10010101010011… |
… | …011011000110000 |
3 | 210211011202001220 |
4 | 102222123120300 |
5 | 1120124041422 |
6 | 51023025040 |
7 | 10521260205 |
oct | 2252333060 |
9 | 724152056 |
10 | 313112112 |
11 | 15081a845 |
12 | 88a3b180 |
13 | 4cb3c051 |
14 | 2d827cac |
15 | 1c74de5c |
hex | 12a9b630 |
313112112 has 40 divisors (see below), whose sum is σ = 809791920. Its totient is φ = 104252160.
The previous prime is 313112089. The next prime is 313112113. The reversal of 313112112 is 211211313.
It is a happy number.
313112112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×3131121122 = 196078389362201088, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 313112091 and 313112100.
It is not an unprimeable number, because it can be changed into a prime (313112113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45814 + ... + 52202.
It is an arithmetic number, because the mean of its divisors is an integer number (20244798).
Almost surely, 2313112112 is an apocalyptic number.
It is an amenable number.
313112112 is an abundant number, since it is smaller than the sum of its proper divisors (496679808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
313112112 is a wasteful number, since it uses less digits than its factorization.
313112112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7421 (or 7415 counting only the distinct ones).
The product of its digits is 36, while the sum is 15.
The square root of 313112112 is about 17694.9742017331. The cubic root of 313112112 is about 679.0471891971.
Adding to 313112112 its reverse (211211313), we get a palindrome (524323425).
The spelling of 313112112 in words is "three hundred thirteen million, one hundred twelve thousand, one hundred twelve".
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