Base | Representation |
---|---|
bin | 110000001111111011110001… |
… | …010001000100101110001110 |
3 | 1000211100020101121210100000000 |
4 | 300033323301101010232032 |
5 | 210303201030203323042 |
6 | 2031151515244545130 |
7 | 62461013414236410 |
oct | 6017736121045616 |
9 | 1024306347710000 |
10 | 212201202011022 |
11 | 6168302a508a94 |
12 | 1b9720212521a6 |
13 | 9153645017553 |
14 | 3a588431b89b0 |
15 | 197ec90c1a74c |
hex | c0fef1444b8e |
212201202011022 has 144 divisors (see below), whose sum is σ = 549928860549120. Its totient is φ = 60151518523152.
The previous prime is 212201202010969. The next prime is 212201202011039. The reversal of 212201202011022 is 220110202102212.
It is a happy number.
212201202011022 is a `hidden beast` number, since 21 + 220 + 120 + 201 + 102 + 2 = 666.
212201202011022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2122012020110223 (a number of 44 digits) contains 333 as substring.
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 = 212201202010986 and 212201202011004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2570179 + ... + 20760737.
It is an arithmetic number, because the mean of its divisors is an integer number (3818950420480).
Almost surely, 2212201202011022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212201202011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274964430274560).
212201202011022 is an abundant number, since it is smaller than the sum of its proper divisors (337727658538098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212201202011022 is an equidigital number, since it uses as much as digits as its factorization.
212201202011022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18190719 (or 18190698 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212201202011022 its reverse (220110202102212), we get a palindrome (432311404113234).
The spelling of 212201202011022 in words is "two hundred twelve trillion, two hundred one billion, two hundred two million, eleven thousand, twenty-two".
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