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212100112120221 = 321323241327046991
BaseRepresentation
bin110000001110011101100111…
…110101101111100110011101
31000210222120110111022210122100
4300032131213311233212131
5210300022012200321341
62031033240225435313
762450504334320613
oct6016354765574635
91023876414283570
10212100112120221
1161644174942896
121b95650a49bb39
139146c54786610
143a539b34cb6b3
15197c325e953b6
hexc0e767d6f99d

212100112120221 has 48 divisors (see below), whose sum is σ = 345706985175552. Its totient is φ = 124330183718400.

The previous prime is 212100112120189. The next prime is 212100112120223. The reversal of 212100112120221 is 122021211001212.

212100112120221 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 112 + 120 + 221 = 666.

It is not a de Polignac number, because 212100112120221 - 25 = 212100112120189 is a prime.

It is a super-2 number, since 2×2121001121202212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212100112120194 and 212100112120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100112120223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162874965 + ... + 164172026.

It is an arithmetic number, because the mean of its divisors is an integer number (7202228857824).

Almost surely, 2212100112120221 is an apocalyptic number.

It is an amenable number.

212100112120221 is a deficient number, since it is larger than the sum of its proper divisors (133606873055331).

212100112120221 is a wasteful number, since it uses less digits than its factorization.

212100112120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327047274 (or 327047271 counting only the distinct ones).

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

Adding to 212100112120221 its reverse (122021211001212), we get a palindrome (334121323121433).

The spelling of 212100112120221 in words is "two hundred twelve trillion, one hundred billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 23 39 69 117 207 241 299 723 897 2169 2691 3133 5543 9399 16629 28197 49887 72059 216177 648531 327046991 981140973 2943422919 4251610883 7522080793 12754832649 22566242379 38264497947 67698727137 78818324831 97787050309 236454974493 293361150927 709364923479 880083452781 1024638222803 1812821471113 3073914668409 5438464413339 9221744005227 16315393240017 23566679124469 70700037373407 212100112120221