Base | Representation |
---|---|
bin | 1010000000101000110000… |
… | …00000010010100010100010 |
3 | 2212221100002210122020202100 |
4 | 11000110120000102202202 |
5 | 10341121300142333442 |
6 | 114452120201031230 |
7 | 4431215415611352 |
oct | 500243000224242 |
9 | 85840083566670 |
10 | 22012110121122 |
11 | 7017313344090 |
12 | 2576117185516 |
13 | c3896b758144 |
14 | 56156b1d2b62 |
15 | 2828bb0d784c |
hex | 1405180128a2 |
22012110121122 has 144 divisors (see below), whose sum is σ = 55819835416800. Its totient is φ = 6200031651840.
The previous prime is 22012110121097. The next prime is 22012110121129. The reversal of 22012110121122 is 22112101121022.
22012110121122 is a `hidden beast` number, since 220 + 1 + 211 + 0 + 1 + 211 + 22 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22012110121095 and 22012110121104.
It is not an unprimeable number, because it can be changed into a prime (22012110121129) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9525954 + ... + 11608962.
It is an arithmetic number, because the mean of its divisors is an integer number (387637745950).
Almost surely, 222012110121122 is an apocalyptic number.
22012110121122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22012110121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27909917708400).
22012110121122 is an abundant number, since it is smaller than the sum of its proper divisors (33807725295678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22012110121122 is a wasteful number, since it uses less digits than its factorization.
22012110121122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2083153 (or 2083097 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 22012110121122 its reverse (22112101121022), we get a palindrome (44124211242144).
The spelling of 22012110121122 in words is "twenty-two trillion, twelve billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".
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