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211201212221202 = 237711372811839763
BaseRepresentation
bin110000000001011000011101…
…001110110000011100010010
31000200210122020121120122020210
4300001120131032300130102
5210140310040312034302
62025104255241144550
762325532632253560
oct6001303516603422
91020718217518223
10211201212221202
1161327a27327165
121b83026278b156
1390b025bbb5148
143a2229c26ca30
151963c6531e66c
hexc0161d3b0712

211201212221202 has 128 divisors (see below), whose sum is σ = 494873320255488. Its totient is φ = 58848835046400.

The previous prime is 211201212221171. The next prime is 211201212221203. The reversal of 211201212221202 is 202122212102112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (211201212221203) 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 63 ways as a sum of consecutive naturals, for example, 113878173 + ... + 115717935.

It is an arithmetic number, because the mean of its divisors is an integer number (3866197814496).

Almost surely, 2211201212221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211201212221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247436660127744).

211201212221202 is an abundant number, since it is smaller than the sum of its proper divisors (283672108034286).

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

211201212221202 is a wasteful number, since it uses less digits than its factorization.

211201212221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840264.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211201212221202 its reverse (202122212102112), we get a palindrome (413323424323314).

The spelling of 211201212221202 in words is "two hundred eleven trillion, two hundred one billion, two hundred twelve million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 14 21 42 71 137 142 213 274 281 411 426 497 562 822 843 959 994 1491 1686 1918 1967 2877 2982 3934 5754 5901 9727 11802 19454 19951 29181 38497 39902 58362 59853 68089 76994 115491 119706 136178 139657 204267 230982 269479 279314 408534 418971 538958 808437 837942 1616874 1839763 2733287 3679526 5466574 5519289 8199861 11038578 12878341 16399722 19133009 25756682 38266018 38635023 57399027 77270046 114798054 130623173 252047531 261246346 391869519 504095062 516973403 756142593 783739038 914362211 1033946806 1512285186 1550920209 1764332717 1828724422 2743086633 3101840418 3528665434 3618813821 5292998151 5486173266 7237627642 10585996302 10856441463 17895374701 21712882926 35790749402 36705111613 53686124103 70825356211 73410223226 107372248206 110115334839 125267622907 141650712422 212476068633 220230669678 250535245814 256935781291 375802868721 424952137266 495777493477 513871562582 751605737442 770807343873 991554986954 1487332480431 1541614687746 2974664960862 5028600290981 10057200581962 15085800872943 30171601745886 35200202036867 70400404073734 105600606110601 211201212221202