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21122212201220 = 22513178953694169
BaseRepresentation
bin1001100110101111001011…
…11101001000001100000100
32202210021010021201000012202
410303113211331020030010
510232031242310414340
6112531224344134032
74310013052240364
oct463274575101404
982707107630182
1021122212201220
116803975150619
122451762167318
13ba2a7bb7aa30
1453046b7429a4
152696858cec15
hex1335e5f48304

21122212201220 has 96 divisors (see below), whose sum is σ = 51146918575200. Its totient is φ = 7257733300224.

The previous prime is 21122212201183. The next prime is 21122212201273. The reversal of 21122212201220 is 2210221222112.

21122212201220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 6539773060804 + 14582439140416 = 2557298^2 + 3818696^2 .

It is a super-2 number, since 2×211222122012202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21122212201192 and 21122212201201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26453705 + ... + 27240464.

It is an arithmetic number, because the mean of its divisors is an integer number (532780401825).

Almost surely, 221122212201220 is an apocalyptic number.

21122212201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122212201220 is an abundant number, since it is smaller than the sum of its proper divisors (30024706373980).

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

21122212201220 is a wasteful number, since it uses less digits than its factorization.

21122212201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53694297 (or 53694295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21122212201220 its reverse (2210221222112), we get a palindrome (23332433423332).

The spelling of 21122212201220 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 89 130 170 178 221 260 340 356 442 445 884 890 1105 1157 1513 1780 2210 2314 3026 4420 4628 5785 6052 7565 11570 15130 19669 23140 30260 39338 78676 98345 196690 393380 53694169 107388338 214776676 268470845 536941690 698024197 912800873 1073883380 1396048394 1825601746 2792096788 3490120985 3651203492 4564004365 4778781041 6980241970 9128008730 9557562082 11866411349 13960483940 18256017460 19115124164 23732822698 23893905205 47465645396 47787810410 59332056745 62124153533 81239277697 95575620820 118664113490 124248307066 162478555394 237328226980 248496614132 310620767665 324957110788 406196388485 621241535330 812392776970 1056110610061 1242483070660 1624785553940 2112221220122 4224442440244 5280553050305 10561106100610 21122212201220