Base | Representation |
---|---|
bin | 110010101110101101011100… |
… | …110100001100000111101000 |
3 | 1002020222022122110022200102201 |
4 | 302232231130310030013220 |
5 | 213220432313131412222 |
6 | 2110304201310105544 |
7 | 64665216612110320 |
oct | 6256553464140750 |
9 | 1066868573280381 |
10 | 223112223310312 |
11 | 650aa3a9598106 |
12 | 210347881ab2b4 |
13 | 97655140a312b |
14 | 3d14991346280 |
15 | 1abd9daa35427 |
hex | caeb5cd0c1e8 |
223112223310312 has 128 divisors (see below), whose sum is σ = 487596309258240. Its totient is φ = 93734010881280.
The previous prime is 223112223310307. The next prime is 223112223310351. The reversal of 223112223310312 is 213013322211322.
223112223310312 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 3×2231122233103123 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239785387 + ... + 2239884997.
It is an arithmetic number, because the mean of its divisors is an integer number (3809346166080).
Almost surely, 2223112223310312 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 223112223310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243798154629120).
223112223310312 is an abundant number, since it is smaller than the sum of its proper divisors (264484085947928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223112223310312 is a wasteful number, since it uses less digits than its factorization.
223112223310312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 102591 (or 102587 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 28.
Adding to 223112223310312 its reverse (213013322211322), we get a palindrome (436125545521634).
The spelling of 223112223310312 in words is "two hundred twenty-three trillion, one hundred twelve billion, two hundred twenty-three million, three hundred ten thousand, three hundred twelve".
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