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211010020221 = 3711131013112237
BaseRepresentation
bin1100010010000100101…
…1010110001101111101
3202011122122120122220010
43010201023112031331
511424122031121341
6240534153013433
721150011402220
oct3044113261575
9664578518803
10211010020221
1181541723370
1234a8a9b4279
1316b8a344640
14a2da43d5b7
15574ed42716
hex31212d637d

211010020221 has 128 divisors (see below), whose sum is σ = 382890074112. Its totient is φ = 99815040000.

The previous prime is 211010020217. The next prime is 211010020297. The reversal of 211010020221 is 122020010112.

211010020221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211010020221 - 22 = 211010020217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211010020197 and 211010020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010020421) 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 127 ways as a sum of consecutive naturals, for example, 94326115 + ... + 94328351.

It is an arithmetic number, because the mean of its divisors is an integer number (2991328704).

Almost surely, 2211010020221 is an apocalyptic number.

211010020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211010020221 is a deficient number, since it is larger than the sum of its proper divisors (171880053891).

211010020221 is a wasteful number, since it uses less digits than its factorization.

211010020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683.

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

Adding to 211010020221 its reverse (122020010112), we get a palindrome (333030030333).

The spelling of 211010020221 in words is "two hundred eleven billion, ten million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 143 231 273 303 311 429 707 933 1001 1111 1313 2121 2177 2237 3003 3333 3421 3939 4043 6531 6711 7777 9191 10263 12129 14443 15659 23331 23947 24607 27573 28301 29081 31411 43329 44473 46977 71841 73821 84903 87243 94233 101101 133419 172249 203567 219877 225937 303303 311311 319891 345521 408343 516747 610701 659631 677811 695707 933933 959673 1036563 1225029 1581559 2087121 2239237 2418647 2485307 2858401 2937181 4491773 4744677 4869949 6717711 7255941 7455921 7652777 8575203 8811543 9044191 13475319 14609847 17397149 20560267 22958331 27132573 31442411 32308991 52191447 53569439 61680801 63309337 70266407 94327233 96926973 99486101 160708317 189928011 210799221 226162937 298458303 491864849 678488811 696402707 772930477 913463291 1475594547 2089208121 2318791431 2740389873 5410513339 6394243037 10048096201 16231540017 19182729111 30144288603 70336673407 211010020221