Base | Representation |
---|---|
bin | 1011101100110111011… |
… | …0111000010011111010 |
3 | 201012212120202101211000 |
4 | 2323031312320103322 |
5 | 11243143141230242 |
6 | 232203123345430 |
7 | 20344342413642 |
oct | 2731566702372 |
9 | 635776671730 |
10 | 201022211322 |
11 | 78286885749 |
12 | 32b61b22276 |
13 | 15c5803514a |
14 | 9a2db71522 |
15 | 5368091a4c |
hex | 2ecddb84fa |
201022211322 has 128 divisors (see below), whose sum is σ = 473208422400. Its totient is φ = 63160171200.
The previous prime is 201022211309. The next prime is 201022211323. The reversal of 201022211322 is 223112220102.
201022211322 is a `hidden beast` number, since 20 + 102 + 221 + 1 + 322 = 666.
201022211322 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 a junction number, because it is equal to n+sod(n) for n = 201022211295 and 201022211304.
It is not an unprimeable number, because it can be changed into a prime (201022211323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16595004 + ... + 16607112.
It is an arithmetic number, because the mean of its divisors is an integer number (3696940800).
Almost surely, 2201022211322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 201022211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236604211200).
201022211322 is an abundant number, since it is smaller than the sum of its proper divisors (272186211078).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201022211322 is a wasteful number, since it uses less digits than its factorization.
201022211322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12409 (or 12403 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 201022211322 its reverse (223112220102), we get a palindrome (424134431424).
The spelling of 201022211322 in words is "two hundred one billion, twenty-two million, two hundred eleven thousand, three hundred twenty-two".
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