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212122120210 = 257111322395027
BaseRepresentation
bin1100010110001101110…
…1101011000000010010
3202021112011012012021121
43011203131223000102
511433411230321320
6241240401112454
721216404162230
oct3054335530022
9667464165247
10212122120210
1181a62452570
123513b32872a
1317006870980
14a3a400b950
1557b77b88aa
hex316376b012

212122120210 has 128 divisors (see below), whose sum is σ = 514957492224. Its totient is φ = 60755823360.

The previous prime is 212122120181. The next prime is 212122120267. The reversal of 212122120210 is 12021221212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2184717 + ... + 2279743.

It is an arithmetic number, because the mean of its divisors is an integer number (4023105408).

Almost surely, 2212122120210 is an apocalyptic number.

212122120210 is an abundant number, since it is smaller than the sum of its proper divisors (302835372014).

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

212122120210 is a wasteful number, since it uses less digits than its factorization.

212122120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95288.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212122120210 its reverse (12021221212), we get a palindrome (224143341422).

It can be divided in two parts, 2121221202 and 10, that added together give a palindrome (2121221212).

The spelling of 212122120210 in words is "two hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 223 286 385 446 455 715 770 910 1001 1115 1430 1561 2002 2230 2453 2899 3122 4906 5005 5798 7805 10010 12265 14495 15610 17171 20293 24530 28990 31889 34342 40586 63778 85855 95027 101465 159445 171710 190054 202930 223223 318890 446446 475135 665189 950270 1045297 1116115 1235351 1330378 2090594 2232230 2470702 3325945 5226485 6176755 6651890 7317079 8647457 10452970 12353510 13588861 14634158 17294914 21191021 27177722 36585395 42382042 43237285 67944305 73170790 86474570 95122027 105955105 135888610 148337147 190244054 211910210 233101231 275483273 296674294 466202462 475610135 550966546 741685735 951220270 1165506155 1377416365 1483371470 1631708617 1928382911 2331012310 2754832730 3030316003 3263417234 3856765822 6060632006 8158543085 9641914555 15151580015 16317086170 19283829110 21212212021 30303160030 42424424042 106061060105 212122120210