Base | Representation |
---|---|
bin | 100100001010001… |
… | …1010100101010000 |
3 | 10010120001121020000 |
4 | 1020110122211100 |
5 | 4441101430222 |
6 | 320221250000 |
7 | 42031655523 |
oct | 11024324520 |
9 | 3116047200 |
10 | 1213311312 |
11 | 572978824 |
12 | 29a403900 |
13 | 1644a52b5 |
14 | b71d6bba |
15 | 717b99ac |
hex | 4851a950 |
1213311312 has 50 divisors (see below), whose sum is σ = 3511678698. Its totient is φ = 404436672.
The previous prime is 1213311293. The next prime is 1213311317. The reversal of 1213311312 is 2131133121.
1213311312 is a `hidden beast` number, since 1 + 21 + 331 + 1 + 312 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1075577616 + 137733696 = 32796^2 + 11736^2 .
It is a super-2 number, since 2×12133113122 = 2944248679654322688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1213311317) 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 9 ways as a sum of consecutive naturals, for example, 466803 + ... + 469394.
Almost surely, 21213311312 is an apocalyptic number.
1213311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1213311312 is an abundant number, since it is smaller than the sum of its proper divisors (2298367386).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1213311312 is an equidigital number, since it uses as much as digits as its factorization.
1213311312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 936217 (or 936202 counting only the distinct ones).
The product of its digits is 108, while the sum is 18.
The square root of 1213311312 is about 34832.6185062220. The cubic root of 1213311312 is about 1066.5734013941.
Adding to 1213311312 its reverse (2131133121), we get a palindrome (3344444433).
The spelling of 1213311312 in words is "one billion, two hundred thirteen million, three hundred eleven thousand, three hundred twelve".
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