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211222022121 = 32114434816153
BaseRepresentation
bin1100010010110111010…
…0000100011111101001
3202012012102111110211100
43010231310010133221
511430040314201441
6241011204552013
721155164364445
oct3045564043751
9665172443740
10211222022121
1181640363550
1234b299b2609
1316bc2241756
14a31a667825
15576376ccb6
hex312dd047e9

211222022121 has 24 divisors (see below), whose sum is σ = 333586090656. Its totient is φ = 127724351040.

The previous prime is 211222022113. The next prime is 211222022147. The reversal of 211222022121 is 121220222112.

It is a happy number.

211222022121 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 211222022121 - 23 = 211222022113 is a prime.

It is a super-2 number, since 2×2112220221212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222022094 and 211222022103.

It is not an unprimeable number, because it can be changed into a prime (211222022111) 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, 2364220 + ... + 2451933.

It is an arithmetic number, because the mean of its divisors is an integer number (13899420444).

Almost surely, 2211222022121 is an apocalyptic number.

It is an amenable number.

211222022121 is a deficient number, since it is larger than the sum of its proper divisors (122364068535).

211222022121 is a wasteful number, since it uses less digits than its factorization.

211222022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816613 (or 4816610 counting only the distinct ones).

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

Adding to 211222022121 its reverse (121220222112), we get a palindrome (332442244233).

Subtracting from 211222022121 its reverse (121220222112), we obtain a square (90001800009 = 3000032).

The spelling of 211222022121 in words is "two hundred eleven billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 443 1329 3987 4873 14619 43857 4816153 14448459 43345377 52977683 158933049 476799147 2133555779 6400667337 19202002011 23469113569 70407340707 211222022121