Base | Representation |
---|---|
bin | 110000010000001111001010… |
… | …000111011100011111110100 |
3 | 1000211102020010110112100200000 |
4 | 300100033022013130133310 |
5 | 210304021144110341040 |
6 | 2031205241114551300 |
7 | 62462351331312024 |
oct | 6020171207343764 |
9 | 1024366113470600 |
10 | 212222020012020 |
11 | 61690942753297 |
12 | 1b976071138530 |
13 | 91555b2008635 |
14 | 3a59859d93a84 |
15 | 19805ad6b7130 |
hex | c103ca1dc7f4 |
212222020012020 has 144 divisors (see below), whose sum is σ = 667846155307968. Its totient is φ = 56570175636480.
The previous prime is 212222020012003. The next prime is 212222020012033. The reversal of 212222020012020 is 20210020222212.
212222020012020 is a `hidden beast` number, since 2 + 122 + 220 + 200 + 120 + 2 + 0 = 666.
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 = 212222020011984 and 212222020012002.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 3674212 + ... + 20927108.
It is an arithmetic number, because the mean of its divisors is an integer number (4637820522972).
Almost surely, 2212222020012020 is an apocalyptic number.
212222020012020 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 212222020012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333923077653984).
212222020012020 is an abundant number, since it is smaller than the sum of its proper divisors (455624135295948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212222020012020 is a wasteful number, since it uses less digits than its factorization.
212222020012020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17255452 (or 17255438 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 212222020012020 its reverse (20210020222212), we get a palindrome (232432040234232).
The spelling of 212222020012020 in words is "two hundred twelve trillion, two hundred twenty-two billion, twenty million, twelve thousand, twenty".
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