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211220102220111 = 33191979934122273
BaseRepresentation
bin110000000001101010000011…
…001010011000100101001111
31000200212110000002110000021000
4300001222003022120211033
5210141112232132020421
62025121101515311343
762330102015511645
oct6001520312304517
91020773002400230
10211220102220111
1161334a4022aa06
121b833a54a4b553
1390b1c7c619baa
143a23170d71195
1519644bd8cb226
hexc01a8329894f

211220102220111 has 64 divisors (see below), whose sum is σ = 329604593472000. Its totient is φ = 133314501058560.

The previous prime is 211220102220077. The next prime is 211220102220121. The reversal of 211220102220111 is 111022201022112.

211220102220111 is a `hidden beast` number, since 2 + 11 + 220 + 102 + 220 + 111 = 666.

It is not a de Polignac number, because 211220102220111 - 27 = 211220102219983 is a prime.

It is a super-2 number, since 2×2112201022201112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220102220121) 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, 9483224271 + ... + 9483246543.

It is an arithmetic number, because the mean of its divisors is an integer number (5150071773000).

Almost surely, 2211220102220111 is an apocalyptic number.

211220102220111 is a deficient number, since it is larger than the sum of its proper divisors (118384491251889).

211220102220111 is a wasteful number, since it uses less digits than its factorization.

211220102220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33621 (or 33615 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211220102220111 its reverse (111022201022112), we get a palindrome (322242303242223).

The spelling of 211220102220111 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 3 9 19 27 57 171 513 1979 5937 9341 17811 22273 28023 37601 53433 66819 84069 112803 177479 200457 252207 338409 423187 532437 601371 1015227 1269561 1597311 3808683 4791933 11426049 18485839 44078267 55457517 132234801 166372551 208052093 351230941 396704403 499117653 624156279 837487073 1053692823 1190113209 1872468837 2512461219 3161078469 3952989767 5617406511 7537383657 9483235407 11858969301 22612150971 35576907903 106730723709 411735092047 1235205276141 3705615828423 7822966748893 11116847485269 23468900246679 70406700740037 211220102220111