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212221311330 = 23572491294029
BaseRepresentation
bin1100010110100101100…
…0000011100101100010
3202021210001211121220210
43011221120003211202
511434112123430310
6241254303114550
721222020245200
oct3055130034542
9667701747823
10212221311330
11820034412a6
12351685a2a56
1317021290242
14a3b326c070
1557c135d820
hex3169603962

212221311330 has 96 divisors (see below), whose sum is σ = 593695967040. Its totient is φ = 48408769920.

The previous prime is 212221311317. The next prime is 212221311331. The reversal of 212221311330 is 33113122212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 212221311297 and 212221311306.

It is not an unprimeable number, because it can be changed into a prime (212221311331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574756 + ... + 868784.

It is an arithmetic number, because the mean of its divisors is an integer number (6184332990).

Almost surely, 2212221311330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212221311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296847983520).

212221311330 is an abundant number, since it is smaller than the sum of its proper divisors (381474655710).

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

212221311330 is a wasteful number, since it uses less digits than its factorization.

212221311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294544 (or 294537 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 212221311330 its reverse (33113122212), we get a palindrome (245334433542).

The spelling of 212221311330 in words is "two hundred twelve billion, two hundred twenty-one million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 491 735 982 1470 1473 2455 2946 3437 4910 6874 7365 10311 14730 17185 20622 24059 34370 48118 51555 72177 103110 120295 144354 240590 294029 360885 588058 721770 882087 1470145 1764174 2058203 2940290 4116406 4410435 6174609 8820870 10291015 12349218 14407421 20582030 28814842 30873045 43222263 61746090 72037105 86444526 144074210 144368239 216111315 288736478 432222630 433104717 721841195 866209434 1010577673 1443682390 2021155346 2165523585 3031733019 4331047170 5052888365 6063466038 7074043711 10105776730 14148087422 15158665095 21222131133 30317330190 35370218555 42444262266 70740437110 106110655665 212221311330