Base | Representation |
---|---|
bin | 1100110100000001011… |
… | …1110010101110100100 |
3 | 210001011202211210122200 |
4 | 3031000113302232210 |
5 | 12101303031423022 |
6 | 245042342254500 |
7 | 21621601162143 |
oct | 3150027625644 |
9 | 701152753580 |
10 | 220123311012 |
11 | 85398963650 |
12 | 367b2a27430 |
13 | 179b040cab7 |
14 | a92290575a |
15 | 5ad4e4bbac |
hex | 33405f2ba4 |
220123311012 has 144 divisors (see below), whose sum is σ = 623807376192. Its totient is φ = 64860099840.
The previous prime is 220123311011. The next prime is 220123311017. The reversal of 220123311012 is 210113321022.
220123311012 is a `hidden beast` number, since 220 + 12 + 331 + 101 + 2 = 666.
220123311012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (220123311011) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29256283 + ... + 29263805.
It is an arithmetic number, because the mean of its divisors is an integer number (4331995668).
Almost surely, 2220123311012 is an apocalyptic number.
220123311012 is a gapful number since it is divisible by the number (22) 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 220123311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311903688096).
220123311012 is an abundant number, since it is smaller than the sum of its proper divisors (403684065180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220123311012 is a wasteful number, since it uses less digits than its factorization.
220123311012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9578 (or 9573 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 220123311012 its reverse (210113321022), we get a palindrome (430236632034).
It can be divided in two parts, 220123 and 311012, that added together give a palindrome (531135).
The spelling of 220123311012 in words is "two hundred twenty billion, one hundred twenty-three million, three hundred eleven thousand, twelve".
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