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212212210221 = 32112758377713
BaseRepresentation
bin1100010110100011010…
…1010101101000101101
3202021202102201020112200
43011220311111220231
511434102311211341
6241253340052113
721221550011304
oct3055065255055
9667672636480
10212212210221
1181aa9295520
1235165534039
131701c42487b
14a3b1d7d43b
1557c0661db6
hex3168d55a2d

212212210221 has 24 divisors (see below), whose sum is σ = 334411424256. Its totient is φ = 128607143040.

The previous prime is 212212210201. The next prime is 212212210261. The reversal of 212212210221 is 122012212212.

It is a happy number.

212212210221 is a `hidden beast` number, since 2 + 1 + 221 + 221 + 0 + 221 = 666.

212212210221 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 212212210221 - 26 = 212212210157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212212210194 and 212212210203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212210201) 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 23 ways as a sum of consecutive naturals, for example, 2691861 + ... + 2769573.

It is an arithmetic number, because the mean of its divisors is an integer number (13933809344).

Almost surely, 2212212210221 is an apocalyptic number.

It is an amenable number.

212212210221 is a deficient number, since it is larger than the sum of its proper divisors (122199214035).

212212210221 is a wasteful number, since it uses less digits than its factorization.

212212210221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105313 (or 105310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212212210221 its reverse (122012212212), we get a palindrome (334224422433).

The spelling of 212212210221 in words is "two hundred twelve billion, two hundred twelve million, two hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 27583 77713 82749 233139 248247 303413 699417 854843 910239 2564529 2730717 7693587 2143557679 6430673037 19292019111 23579134469 70737403407 212212210221