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211222012220020 = 225193189201466981
BaseRepresentation
bin110000000001101011110101…
…000000011101001001110100
31000200212121221012110001120101
4300001223311000131021310
5210141130140112020040
62025122015225243444
762330200240320544
oct6001536500351164
91020777835401511
10211222012220020
116133583039612a
121b8342a8633584
1390b21c5242259
143a232b28bd324
15196458141209a
hexc01af501d274

211222012220020 has 96 divisors (see below), whose sum is σ = 487388922854400. Its totient is φ = 76589687116800.

The previous prime is 211222012220017. The next prime is 211222012220071. The reversal of 211222012220020 is 20022210222112.

It is a super-2 number, since 2×2112220122200202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 211222012220020.

It is a congruent number.

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, 99685071 + ... + 101781910.

It is an arithmetic number, because the mean of its divisors is an integer number (5076967946400).

Almost surely, 2211222012220020 is an apocalyptic number.

211222012220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222012220020 is an abundant number, since it is smaller than the sum of its proper divisors (276166910634380).

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

211222012220020 is a wasteful number, since it uses less digits than its factorization.

211222012220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201467129 (or 201467127 counting only the distinct ones).

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

Adding to 211222012220020 its reverse (20022210222112), we get a palindrome (231244222442132).

The spelling of 211222012220020 in words is "two hundred eleven trillion, two hundred twenty-two billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 89 95 124 155 178 190 310 356 380 445 589 620 890 1178 1691 1780 2356 2759 2945 3382 5518 5890 6764 8455 11036 11780 13795 16910 27590 33820 52421 55180 104842 209684 262105 524210 1048420 201466981 402933962 805867924 1007334905 2014669810 3827872639 4029339620 6245476411 7655745278 12490952822 15311490556 17930561309 19139363195 24981905644 31227382055 35861122618 38278726390 62454764110 71722245236 76557452780 89652806545 118664051809 124909528220 179305613090 237328103618 340680664871 358611226180 474656207236 555847400579 593320259045 681361329742 1111694801158 1186640518090 1362722659484 1703403324355 2223389602316 2373281036180 2779237002895 3406806648710 5558474005790 6813613297420 10561100611001 11116948011580 21122201222002 42244402444004 52805503055005 105611006110010 211222012220020