Base | Representation |
---|---|
bin | 11110111000010010010… |
… | …000010010000001001110 |
3 | 21111212022020012021202100 |
4 | 132320102100102001032 |
5 | 234231344121232342 |
6 | 4302501555135530 |
7 | 306211431155226 |
oct | 36702220220116 |
9 | 7455266167670 |
10 | 2122020102222 |
11 | 748a42032679 |
12 | 2a33182a45a6 |
13 | 12514b1138a7 |
14 | 749c6205086 |
15 | 3a2ea4b6e4c |
hex | 1ee1241204e |
2122020102222 has 96 divisors (see below), whose sum is σ = 5045280215040. Its totient is φ = 642074040000.
The previous prime is 2122020102221. The next prime is 2122020102247. The reversal of 2122020102222 is 2222010202212.
2122020102222 is a `hidden beast` number, since 21 + 220 + 201 + 0 + 2 + 222 = 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 = 2122020102195 and 2122020102204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122020102221) 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, 79947 + ... + 2061657.
It is an arithmetic number, because the mean of its divisors is an integer number (52555002240).
Almost surely, 22122020102222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122020102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522640107520).
2122020102222 is an abundant number, since it is smaller than the sum of its proper divisors (2923260112818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122020102222 is a wasteful number, since it uses less digits than its factorization.
2122020102222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1981870 (or 1981867 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2122020102222 its reverse (2222010202212), we get a palindrome (4344030304434).
The spelling of 2122020102222 in words is "two trillion, one hundred twenty-two billion, twenty million, one hundred two thousand, two hundred twenty-two".
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