| Base | Representation |
|---|---|
| bin | 110100101101111101… |
| … | …0000111011110010000 |
| 3 | 101211012212200022222200 |
| 4 | 1221123322013132100 |
| 5 | 3323324021030222 |
| 6 | 124001455003200 |
| 7 | 11115322366005 |
| oct | 1513372073620 |
| 9 | 354185608880 |
| 10 | 113211111312 |
| 11 | 440157a2612 |
| 12 | 19b36209500 |
| 13 | a8a2859080 |
| 14 | 569d8618ac |
| 15 | 2e28e8ceac |
| hex | 1a5be87790 |
113211111312 has 240 divisors, whose sum is σ = 368098658928. Its totient is φ = 32166051840.
The previous prime is 113211111289. The next prime is 113211111331. The reversal of 113211111312 is 213111112311.
113211111312 is a `hidden beast` number, since 11 + 321 + 11 + 11 + 312 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 452157696 + 112758953616 = 21264^2 + 335796^2 .
It is a super-2 number, since 2×1132111113122 (a number of 23 digits) 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 an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653112 + ... + 1720232.
Almost surely, 2113211111312 is an apocalyptic number.
113211111312 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 113211111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184049329464).
113211111312 is an abundant number, since it is smaller than the sum of its proper divisors (254887547616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113211111312 is a wasteful number, since it uses less digits than its factorization.
113211111312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 67218 (or 67209 counting only the distinct ones).
The product of its digits is 36, while the sum is 18.
Adding to 113211111312 its reverse (213111112311), we get a palindrome (326322223623).
Subtracting 113211111312 from its reverse (213111112311), we obtain a palindrome (99900000999).
The spelling of 113211111312 in words is "one hundred thirteen billion, two hundred eleven million, one hundred eleven thousand, three hundred twelve".
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