| Base | Representation |
|---|---|
| bin | 110010110001… |
| … | …110101010000 |
| 3 | 221001021200120 |
| 4 | 302301311100 |
| 5 | 11401430222 |
| 6 | 1153150240 |
| 7 | 221100330 |
| oct | 62616520 |
| 9 | 27037616 |
| 10 | 13311312 |
| 11 | 7571a93 |
| 12 | 455b380 |
| 13 | 29b0b21 |
| 14 | 1aa70c0 |
| 15 | 127e15c |
| hex | cb1d50 |
13311312 has 80 divisors (see below), whose sum is σ = 39699840. Its totient is φ = 3764736.
The previous prime is 13311301. The next prime is 13311313. The reversal of 13311312 is 21311331.
It is a super-2 number, since 2×133113122 = 354382054322688, 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 = 13311291 and 13311300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13311313) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58014 + ... + 58242.
It is an arithmetic number, because the mean of its divisors is an integer number (496248).
Almost surely, 213311312 is an apocalyptic number.
13311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 13311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849920).
13311312 is an abundant number, since it is smaller than the sum of its proper divisors (26388528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13311312 is a wasteful number, since it uses less digits than its factorization.
13311312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 420 (or 414 counting only the distinct ones).
The product of its digits is 54, while the sum is 15.
The square root of 13311312 is about 3648.4670753619. The cubic root of 13311312 is about 236.9956024750.
Adding to 13311312 its reverse (21311331), we get a palindrome (34622643).
The spelling of 13311312 in words is "thirteen million, three hundred eleven thousand, three hundred twelve".
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