Base | Representation |
---|---|
bin | 1100111111000111011… |
… | …1001100110000010000 |
3 | 210022212022002201201200 |
4 | 3033301313030300100 |
5 | 12123402341030222 |
6 | 250254035031200 |
7 | 22055440104522 |
oct | 3176167146020 |
9 | 708768081650 |
10 | 223101111312 |
11 | 86686841032 |
12 | 372a413b500 |
13 | 18066320901 |
14 | ab261ada12 |
15 | 5c0b5a7eac |
hex | 33f1dccc10 |
223101111312 has 120 divisors (see below), whose sum is σ = 635932452480. Its totient is φ = 72994141440.
The previous prime is 223101111281. The next prime is 223101111323. The reversal of 223101111312 is 213111101322.
223101111312 is a `hidden beast` number, since 22 + 310 + 11 + 11 + 312 = 666.
223101111312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2231011113123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5595993 + ... + 5635719.
It is an arithmetic number, because the mean of its divisors is an integer number (5299437104).
Almost surely, 2223101111312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223101111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317966226240).
223101111312 is an abundant number, since it is smaller than the sum of its proper divisors (412831341168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223101111312 is a wasteful number, since it uses less digits than its factorization.
223101111312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40461 (or 40452 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 223101111312 its reverse (213111101322), we get a palindrome (436212212634).
The spelling of 223101111312 in words is "two hundred twenty-three billion, one hundred one million, one hundred eleven thousand, three hundred twelve".
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