Base | Representation |
---|---|
bin | 110000000001100010100001… |
… | …100011100110000111001110 |
3 | 1000200211200010222111000112010 |
4 | 300001202201203212013032 |
5 | 210140444210141223042 |
6 | 2025113244040522050 |
7 | 62326364543540100 |
oct | 6001424143460716 |
9 | 1020750128430463 |
10 | 211212022211022 |
11 | 61331574285548 |
12 | 1b83237aa80326 |
13 | 90b1292642521 |
14 | 3a22a05bdb570 |
15 | 196419937959c |
hex | c018a18e61ce |
211212022211022 has 96 divisors (see below), whose sum is σ = 496226325893760. Its totient is φ = 59755412646720.
The previous prime is 211212022211009. The next prime is 211212022211041. The reversal of 211212022211022 is 220112220212112.
It is a super-3 number, since 3×2112120222110223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 211212022211022.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3579129 + ... + 20862267.
It is an arithmetic number, because the mean of its divisors is an integer number (5169024228060).
Almost surely, 2211212022211022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211212022211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248113162946880).
211212022211022 is an abundant number, since it is smaller than the sum of its proper divisors (285014303682738).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211212022211022 is a wasteful number, since it uses less digits than its factorization.
211212022211022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17283566 (or 17283559 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 21.
Adding to 211212022211022 its reverse (220112220212112), we get a palindrome (431324242423134).
The spelling of 211212022211022 in words is "two hundred eleven trillion, two hundred twelve billion, twenty-two million, two hundred eleven thousand, twenty-two".
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