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211221220222221 = 31110164398557859
BaseRepresentation
bin110000000001101011000101…
…110011001110010100001101
31000200212112220000011101211120
4300001223011303032110031
5210141122024334102341
62025121404454111153
762330141512413216
oct6001530563162415
91020775800141746
10211221220222221
11613354643204a0
121b83410734b4b9
1390b20ca1317c1
143a2323963840d
151964536b1b066
hexc01ac5cce50d

211221220222221 has 32 divisors (see below), whose sum is σ = 310755297968640. Its totient is φ = 126548289672000.

The previous prime is 211221220222217. The next prime is 211221220222241. The reversal of 211221220222221 is 122222022122112.

It is a happy number.

It is not a de Polignac number, because 211221220222221 - 22 = 211221220222217 is a prime.

It is a super-2 number, since 2×2112212202222212 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211221220222191 and 211221220222200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221220222241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47135811 + ... + 51422048.

It is an arithmetic number, because the mean of its divisors is an integer number (9711103061520).

Almost surely, 2211221220222221 is an apocalyptic number.

It is an amenable number.

211221220222221 is a deficient number, since it is larger than the sum of its proper divisors (99534077746419).

211221220222221 is a wasteful number, since it uses less digits than its factorization.

211221220222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98558617.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211221220222221 its reverse (122222022122112), we get a palindrome (333443242344333).

The spelling of 211221220222221 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 101 303 643 1111 1929 3333 7073 21219 64943 194829 714373 2143119 98557859 295673577 1084136449 3252409347 9954343759 29863031277 63372703337 109497781349 190118110011 328493344047 697099736707 2091299210121 6400643037037 19201929111111 70407073407407 211221220222221