Base | Representation |
---|---|
bin | 1100010101110101111… |
… | …1110010010101000000 |
3 | 202021021011211010112111 |
4 | 3011131133302111000 |
5 | 11433210113324300 |
6 | 241222423305104 |
7 | 21214050234226 |
oct | 3053537622500 |
9 | 667234733474 |
10 | 212022011200 |
11 | 81a1099714a |
12 | 351118ab194 |
13 | 16cbbbbc67c |
14 | a3949ccb16 |
15 | 57adae19ba |
hex | 315d7f2540 |
212022011200 has 84 divisors (see below), whose sum is σ = 521904704220. Its totient is φ = 84776611840.
The previous prime is 212022011191. The next prime is 212022011213. The reversal of 212022011200 is 2110220212.
It is a happy number.
212022011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 10449746176 + 201572265024 = 102224^2 + 448968^2 .
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 11 ways as a sum of consecutive naturals, for example, 4438644 + ... + 4486156.
Almost surely, 2212022011200 is an apocalyptic number.
212022011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260952352110).
212022011200 is an abundant number, since it is smaller than the sum of its proper divisors (309882693020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212022011200 is a wasteful number, since it uses less digits than its factorization.
212022011200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50324 (or 50309 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 212022011200 its reverse (2110220212), we get a palindrome (214132231412).
The spelling of 212022011200 in words is "two hundred twelve billion, twenty-two million, eleven thousand, two hundred".
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