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211221211201210 = 2573473016143441
BaseRepresentation
bin110000000001101011000101…
…010000110011111010111010
31000200212112212101012002100001
4300001223011100303322322
5210141122020031414320
62025121403532503214
762330141342632000
oct6001530520637272
91020775771162301
10211221211201210
116133545a219911
121b83410431ab0a
1390b20c82c3722
143a2323836aa70
151964535e3820a
hexc01ac5433eba

211221211201210 has 128 divisors (see below), whose sum is σ = 452838851942400. Its totient is φ = 70873896038400.

The previous prime is 211221211201043. The next prime is 211221211201219. The reversal of 211221211201210 is 12102112122112.

It is a happy number.

It is a super-2 number, since 2×2112212112012102 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221211201219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4862233090 + ... + 4862276530.

It is an arithmetic number, because the mean of its divisors is an integer number (3537803530800).

Almost surely, 2211221211201210 is an apocalyptic number.

211221211201210 is an abundant number, since it is smaller than the sum of its proper divisors (241617640741190).

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

211221211201210 is a wasteful number, since it uses less digits than its factorization.

211221211201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73677 (or 73663 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 211221211201210 its reverse (12102112122112), we get a palindrome (223323323323322).

The spelling of 211221211201210 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 47 49 70 94 98 235 245 329 343 470 490 658 686 1645 1715 2303 3290 3430 4606 11515 16121 23030 30161 32242 43441 60322 80605 86882 150805 161210 211127 217205 301610 304087 422254 434410 608174 1055635 1417567 1477889 1520435 2041727 2111270 2128609 2835134 2955778 3040870 4083454 4257218 7087835 7389445 9922969 10208635 10345223 10643045 14175670 14292089 14778890 14900263 19845938 20417270 20690446 21286090 28584178 29800526 49614845 51726115 69460783 71460445 74501315 99229690 100044623 103452230 138921566 142920890 149002630 200089246 347303915 486225481 500223115 694607830 700312361 972450962 1000446230 1310224001 1400624722 2431127405 2620448002 3501561805 4862254810 6551120005 7003123610 9171568007 13102240010 18343136014 45857840035 61580528047 64200976049 91715680070 123161056094 128401952098 307902640235 321004880245 431063696329 449406832343 615805280470 642009760490 862127392658 898813664686 2155318481645 2247034161715 3017445874303 4310636963290 4494068323430 6034891748606 15087229371515 21122121120121 30174458743030 42244242240242 105610605600605 211221211201210