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212220220101210 = 2325139141731196927
BaseRepresentation
bin110000010000001101011110…
…110101010101001001011010
31000211102001111000200102012200
4300100031132311111021122
5210304004002321214320
62031204342340351030
762462255614315446
oct6020153665251132
91024361430612180
10212220220101210
11616900a974a6a2
121b97584a3a5476
13915538614a059
143a59728d01826
15198050567a290
hexc1035ed5525a

212220220101210 has 96 divisors (see below), whose sum is σ = 555781834782720. Its totient is φ = 56180910420864.

The previous prime is 212220220101203. The next prime is 212220220101233. The reversal of 212220220101210 is 12101022022212.

It is a happy number.

212220220101210 is a `hidden beast` number, since 2 + 1 + 2 + 220 + 220 + 10 + 1 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176705767 + ... + 177902693.

It is an arithmetic number, because the mean of its divisors is an integer number (5789394112320).

Almost surely, 2212220220101210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212220220101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277890917391360).

212220220101210 is an abundant number, since it is smaller than the sum of its proper divisors (343561614681510).

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

212220220101210 is a wasteful number, since it uses less digits than its factorization.

212220220101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211252 (or 1211249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212220220101210 its reverse (12101022022212), we get a palindrome (224321242123422).

The spelling of 212220220101210 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred twenty million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 12510 14173 28346 42519 70865 85038 127557 141730 212595 255114 425190 637785 1196927 1275570 1970047 2393854 3590781 3940094 5910141 5984635 7181562 9850235 10772343 11820282 11969270 17730423 17953905 19700470 21544686 29550705 35460846 35907810 53861715 59101410 88652115 107723430 166372853 177304230 332745706 499118559 831864265 998237118 1497355677 1663728530 2495592795 2994711354 4991185590 7486778385 14973556770 16964046371 33928092742 50892139113 84820231855 101784278226 152676417339 169640463710 254460695565 305352834678 508921391130 763382086695 1526764173390 2358002445569 4716004891138 7074007336707 11790012227845 14148014673414 21222022010121 23580024455690 35370036683535 42444044020242 70740073367070 106110110050605 212220220101210