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211221132032220 = 2235199123714300899
BaseRepresentation
bin110000000001101011000000…
…100010110011100011011100
31000200212112122212012212220020
4300001223000202303203130
5210141121334300012340
62025121352023552140
762330136361666422
oct6001530042634334
91020775585185806
10211221132032220
1161335419565aa2
121b8340a18bb650
1390b20b4a9467b
143a2322ba3d112
15196452deea9d0
hexc01ac08b38dc

211221132032220 has 96 divisors (see below), whose sum is σ = 594871677120000. Its totient is φ = 55997282651904.

The previous prime is 211221132032173. The next prime is 211221132032221. The reversal of 211221132032220 is 22230231122112.

It is a super-2 number, since 2×2112211320322202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221132032221) by changing a digit.

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, 7619331 + ... + 21920229.

It is an arithmetic number, because the mean of its divisors is an integer number (6196579970000).

Almost surely, 2211221132032220 is an apocalyptic number.

211221132032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221132032220 is an abundant number, since it is smaller than the sum of its proper divisors (383650545087780).

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

211221132032220 is a wasteful number, since it uses less digits than its factorization.

211221132032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302347 (or 14302345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211221132032220 its reverse (22230231122112), we get a palindrome (233451363154332).

The spelling of 211221132032220 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred thirty-two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 199 398 597 796 995 1194 1237 1990 2388 2474 2985 3711 3980 4948 5970 6185 7422 11940 12370 14844 18555 24740 37110 74220 246163 492326 738489 984652 1230815 1476978 2461630 2953956 3692445 4923260 7384890 14300899 14769780 28601798 42902697 57203596 71504495 85805394 143008990 171610788 214513485 286017980 429026970 858053940 2845878901 5691757802 8537636703 11383515604 14229394505 17075273406 17690212063 28458789010 34150546812 35380424126 42688183515 53070636189 56917578020 70760848252 85376367030 88451060315 106141272378 170752734060 176902120630 212282544756 265353180945 353804241260 530706361890 1061412723780 3520352200537 7040704401074 10561056601611 14081408802148 17601761002685 21122113203222 35203522005370 42244226406444 52805283008055 70407044010740 105610566016110 211221132032220