Base | Representation |
---|---|
bin | 10110111101111110… |
… | …11101011010110000 |
3 | 1011211101011101210000 |
4 | 23132333131122300 |
5 | 200223231041422 |
6 | 5355334310000 |
7 | 614401503114 |
oct | 133677353260 |
9 | 34741141700 |
10 | 12331112112 |
11 | 5258656050 |
12 | 24817b8300 |
13 | 1216936857 |
14 | 84d9ad744 |
15 | 4c2877cac |
hex | 2defdd6b0 |
12331112112 has 600 divisors, whose sum is σ = 42948469872. Its totient is φ = 3384115200.
The previous prime is 12331112111. The next prime is 12331112147. The reversal of 12331112112 is 21121113321.
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 not an unprimeable number, because it can be changed into a prime (12331112111) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 168919308 + ... + 168919380.
Almost surely, 212331112112 is an apocalyptic number.
12331112112 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 12331112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474234936).
12331112112 is an abundant number, since it is smaller than the sum of its proper divisors (30617357760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12331112112 is a wasteful number, since it uses less digits than its factorization.
12331112112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179 (or 147 counting only the distinct ones).
The product of its digits is 72, while the sum is 18.
Adding to 12331112112 its reverse (21121113321), we get a palindrome (33452225433).
The spelling of 12331112112 in words is "twelve billion, three hundred thirty-one million, one hundred twelve thousand, one hundred twelve".
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