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21222112210200 = 233252111997536717
BaseRepresentation
bin1001101001101001010000…
…11101011010110100011000
32210010210222111012021120100
410310310220131122310120
510240200341211211300
6113045145340055400
74320150503302026
oct464645035326430
983123874167510
1021222112210200
11684227a0a0a10
122468ba2534560
13bac30ca4aa95
145352273b5716
1526c080e67700
hex134d2875ad18

21222112210200 has 288 divisors, whose sum is σ = 77789180392560. Its totient is φ = 5142168652800.

The previous prime is 21222112210087. The next prime is 21222112210241. The reversal of 21222112210200 is 201221122212.

It is a happy number.

21222112210200 is a `hidden beast` number, since 21 + 2 + 221 + 1 + 221 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 39272242 + ... + 39808958.

Almost surely, 221222112210200 is an apocalyptic number.

21222112210200 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 21222112210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38894590196280).

21222112210200 is an abundant number, since it is smaller than the sum of its proper divisors (56567068182360).

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

21222112210200 is a wasteful number, since it uses less digits than its factorization.

21222112210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538747 (or 538735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222112210200 its reverse (201221122212), we get a palindrome (21423333332412).

It can be divided in two parts, 212221 and 12210200, that added together give a palindrome (12422421).

The spelling of 21222112210200 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, two hundred".