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212121112022211 = 371072511723921817
BaseRepresentation
bin110000001110110001001011…
…100010000000110011000011
31000211001120200000100100120010
4300032301023202000303003
5210300343014134202321
62031051032114320003
762452146620456640
oct6016611342006303
91024046600310503
10212121112022211
1161652070828a97
121b95a5ab289003
139148c20365922
143a54a064d6dc7
15197cb548c3676
hexc0ec4b880cc3

212121112022211 has 64 divisors (see below), whose sum is σ = 327586860195840. Its totient is φ = 119588418144000.

The previous prime is 212121112022203. The next prime is 212121112022243. The reversal of 212121112022211 is 112220211121212.

It is not a de Polignac number, because 212121112022211 - 23 = 212121112022203 is a prime.

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 (212121112022311) 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, 9722733375 + ... + 9722755191.

It is an arithmetic number, because the mean of its divisors is an integer number (5118544690560).

Almost surely, 2212121112022211 is an apocalyptic number.

212121112022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212121112022211 is a deficient number, since it is larger than the sum of its proper divisors (115465748173629).

212121112022211 is a wasteful number, since it uses less digits than its factorization.

212121112022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39424.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 212121112022211 its reverse (112220211121212), we get a palindrome (324341323143423).

Subtracting from 212121112022211 its reverse (112220211121212), we obtain a palindrome (99900900900999).

The spelling of 212121112022211 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred twelve million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 21 107 251 321 749 753 1757 2247 5271 17239 21817 26857 51717 65451 80571 120673 152719 187999 362019 458157 563997 1844573 2334419 4326989 5476067 5533719 7003257 12912011 12980967 16340933 16428201 30288923 38332469 38736033 49022799 90866769 114997407 376103263 462987823 585939169 1128309789 1388963469 1757817507 2632722841 3240914761 4101574183 7898168523 9722744283 12304722549 40243049141 94401919013 120729147423 281701343987 283205757039 660813433091 845104031961 1982440299273 10101005334391 30303016003173 70707037340737 212121112022211