Base | Representation |
---|---|
bin | 1100010101110011110… |
… | …1100010001001010110 |
3 | 202021020112220221102100 |
4 | 3011130331202021112 |
5 | 11433200314011042 |
6 | 241221503022530 |
7 | 21213611015661 |
oct | 3053475421126 |
9 | 667215827370 |
10 | 212013032022 |
11 | 81a06913a40 |
12 | 3510a89aa46 |
13 | 16cba09764c |
14 | a3937326d8 |
15 | 57ace1b24c |
hex | 315cf62256 |
212013032022 has 96 divisors (see below), whose sum is σ = 523831815936. Its totient is φ = 61344676800.
The previous prime is 212013032009. The next prime is 212013032051. The reversal of 212013032022 is 220230310212.
212013032022 is a `hidden beast` number, since 212 + 0 + 130 + 320 + 2 + 2 = 666.
212013032022 is digitally balanced in base 2, 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 = 212013031986 and 212013032004.
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, 2559568 + ... + 2641100.
It is an arithmetic number, because the mean of its divisors is an integer number (5456581416).
Almost surely, 2212013032022 is an apocalyptic number.
212013032022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 212013032022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261915907968).
212013032022 is an abundant number, since it is smaller than the sum of its proper divisors (311818783914).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212013032022 is a wasteful number, since it uses less digits than its factorization.
212013032022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82146 (or 82143 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 212013032022 its reverse (220230310212), we get a palindrome (432243342234).
The spelling of 212013032022 in words is "two hundred twelve billion, thirteen million, thirty-two thousand, twenty-two".
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