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21202210220212 = 22743167409325763
BaseRepresentation
bin1001101001000100001100…
…01101010110100010110100
32210001220121111002102210001
410310202012031112202310
510234334111304021322
6113032054431241044
74315544351211430
oct464420615264264
983056544072701
1021202210220212
116834896a242aa
122465169379184
13baa48a76ac48
1453429a1239c0
1526b7b8b0b827
hex1348863568b4

21202210220212 has 96 divisors (see below), whose sum is σ = 43662752888832. Its totient is φ = 8819700253056.

The previous prime is 21202210220207. The next prime is 21202210220327. The reversal of 21202210220212 is 21202201220212.

It is a self number, because there is not a number n which added to its sum of digits gives 21202210220212.

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 31 ways as a sum of consecutive naturals, for example, 822958443 + ... + 822984205.

It is an arithmetic number, because the mean of its divisors is an integer number (454820342592).

Almost surely, 221202210220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202210220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21831376444416).

21202210220212 is an abundant number, since it is smaller than the sum of its proper divisors (22460542668620).

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

21202210220212 is a wasteful number, since it uses less digits than its factorization.

21202210220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30077 (or 30075 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21202210220212 its reverse (21202201220212), we get a palindrome (42404411440424).

Subtracting from 21202210220212 its reverse (21202201220212), we obtain a square (9000000 = 30002).

The spelling of 21202210220212 in words is "twenty-one trillion, two hundred two billion, two hundred ten million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 43 86 167 172 301 334 602 668 1169 1204 2338 4093 4676 7181 8186 14362 16372 25763 28651 28724 50267 51526 57302 100534 103052 114604 175999 180341 201068 351998 360682 683531 703996 721364 1107809 1231993 1367062 2215618 2463986 2734124 4302421 4431236 4784717 4927972 7754663 8604842 9569434 15509326 17209684 19138868 29391833 30116947 31018652 58783666 60233894 105447959 117567332 120467788 185004103 205742831 210895918 370008206 411485662 421791836 738135713 740016412 822971324 1295028721 1476271426 2590057442 2952542852 4534262237 5180114884 9068524474 17609809153 18137048948 31739835659 35219618306 63479671318 70439236612 123268664071 126959342636 246537328142 493074656284 757221793579 1514443587158 3028887174316 5300552555053 10601105110106 21202210220212