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212010120201 = 311196171101773
BaseRepresentation
bin1100010101110011001…
…0011011010000001001
3202021020100110000011010
43011130302123100021
511433144042321301
6241221320354133
721213544200465
oct3053462332011
9667210400133
10212010120201
1181a05205280
1235109915949
1316cb95b8189
14a3931b54a5
1557aca435d6
hex315cc9b409

212010120201 has 128 divisors (see below), whose sum is σ = 338326917120. Its totient is φ = 116726400000.

The previous prime is 212010120193. The next prime is 212010120241. The reversal of 212010120201 is 102021010212.

It is not a de Polignac number, because 212010120201 - 23 = 212010120193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212010120241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 274268851 + ... + 274269623.

It is an arithmetic number, because the mean of its divisors is an integer number (2643179040).

Almost surely, 2212010120201 is an apocalyptic number.

It is an amenable number.

212010120201 is a deficient number, since it is larger than the sum of its proper divisors (126316796919).

212010120201 is a wasteful number, since it uses less digits than its factorization.

212010120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010120201 its reverse (102021010212), we get a palindrome (314031130413).

The spelling of 212010120201 in words is "two hundred twelve billion, ten million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 11 19 33 57 61 71 101 183 209 213 303 627 671 773 781 1111 1159 1349 1919 2013 2319 2343 3333 3477 4047 4331 5757 6161 7171 8503 12749 12993 14687 14839 18483 21109 21513 25509 38247 44061 44517 47153 47641 54883 63327 67771 78073 78881 82289 117059 136249 141459 142923 161557 164649 203313 234219 236643 246867 351177 408747 437431 484671 518683 603713 858803 895907 905179 1042777 1287649 1312293 1483387 1498739 1556049 1811139 2576409 2687721 2715537 3128331 3347863 3862947 4450161 4496217 4762453 4811741 5543183 8311189 9854977 10043589 11470547 14287359 14435223 16317257 16629549 24933567 29564931 34411641 36826493 48951771 52386983 60975013 63609397 90486607 91423079 105320477 110479479 157160949 182925039 190828191 271459821 274269237 315961431 338134163 699703367 995352677 1014402489 1158525247 2099110101 2986058031 3475575741 3719475793 6424549097 11158427379 19273647291 70670040067 212010120201