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212221132220 = 22510611056611
BaseRepresentation
bin1100010110100101011…
…1010111110110111100
3202021210001111112020002
43011221113113312330
511434112102212340
6241254255213432
721222015601046
oct3055127276674
9667701445202
10212221132220
1182003329779
1235168517278
1317021229866
14a3b3222a96
1557c1325715
hex31695d7dbc

212221132220 has 12 divisors (see below), whose sum is σ = 445664377704. Its totient is φ = 84888452880.

The previous prime is 212221132141. The next prime is 212221132261. The reversal of 212221132220 is 22231122212.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10611056611 = 212221132220 / (2 + 1 + 2 + 2 + 2 + 1 + 1 + 3 + 2 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 212221132192 and 212221132201.

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 3 ways as a sum of consecutive naturals, for example, 5305528286 + ... + 5305528325.

It is an arithmetic number, because the mean of its divisors is an integer number (37138698142).

Almost surely, 2212221132220 is an apocalyptic number.

212221132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221132220 is an abundant number, since it is smaller than the sum of its proper divisors (233443245484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212221132220 is a wasteful number, since it uses less digits than its factorization.

212221132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10611056620 (or 10611056618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212221132220 its reverse (22231122212), we get a palindrome (234452254432).

The spelling of 212221132220 in words is "two hundred twelve billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10611056611 21222113222 42444226444 53055283055 106110566110 212221132220