Base | Representation |
---|---|
bin | 1001100011110100101111… |
… | …00010000000101100111010 |
3 | 2202102200202010221012021100 |
4 | 10301322113202000230322 |
5 | 10223411241212101020 |
6 | 112413231450152230 |
7 | 4266540352404324 |
oct | 461722742005472 |
9 | 82380663835240 |
10 | 21022112222010 |
11 | 6775478338679 |
12 | 2436286a22676 |
13 | b964b87340c3 |
14 | 5296932d8614 |
15 | 266c779e6a90 |
hex | 131e97880b3a |
21022112222010 has 96 divisors (see below), whose sum is σ = 55264609530000. Its totient is φ = 5543956712448.
The previous prime is 21022112221997. The next prime is 21022112222017. The reversal of 21022112222010 is 1022221122012.
It is a happy number.
21022112222010 is a `hidden beast` number, since 21 + 0 + 221 + 1 + 222 + 201 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 3267240617601 + 17754871604409 = 1807551^2 + 4213653^2 .
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 (21022112222017) 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, 351915 + ... + 6493694.
Almost surely, 221022112222010 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21022112222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632304765000).
21022112222010 is an abundant number, since it is smaller than the sum of its proper divisors (34242497307990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21022112222010 is a wasteful number, since it uses less digits than its factorization.
21022112222010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6846000 (or 6845997 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21022112222010 its reverse (1022221122012), we get a palindrome (22044333344022).
The spelling of 21022112222010 in words is "twenty-one trillion, twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, ten".
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