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212221321300 = 225213309159457
BaseRepresentation
bin1100010110100101100…
…0000110000001010100
3202021210001212010121001
43011221120012001110
511434112124240200
6241254303233044
721222020316232
oct3055130060124
9667701763531
10212221321300
118200344883a
12351685a8784
1317021294941
14a3b3271952
1557c136176a
hex3169606054

212221321300 has 36 divisors (see below), whose sum is σ = 460557757660. Its totient is φ = 84881617920.

The previous prime is 212221321289. The next prime is 212221321303. The reversal of 212221321300 is 3123122212.

It can be written as a sum of positive squares in 6 ways, for example, as 4077333316 + 208143987984 = 63854^2 + 456228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221321303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251172 + ... + 1410628.

Almost surely, 2212221321300 is an apocalyptic number.

212221321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221321300 is an abundant number, since it is smaller than the sum of its proper divisors (248336436360).

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

212221321300 is a wasteful number, since it uses less digits than its factorization.

212221321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172780 (or 172773 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212221321300 its reverse (3123122212), we get a palindrome (215344443512).

The spelling of 212221321300 in words is "two hundred twelve billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13309 26618 53236 66545 133090 159457 266180 318914 332725 637828 665450 797285 1330900 1594570 3189140 3986425 7972850 15945700 2122213213 4244426426 8488852852 10611066065 21222132130 42444264260 53055330325 106110660650 212221321300