Search a number
-
+
211222220001201 = 3259594751668821
BaseRepresentation
bin110000000001101100000001…
…011001000100111110110001
31000200212122110200102102202200
4300001230001121010332301
5210141131101310014301
62025122052010533413
762330205342403563
oct6001540131047661
91020778420372680
10211222220001201
1161335927703212
121b834346137269
1390b22292c21b6
143a232d2329333
1519645947a6c86
hexc01b01644fb1

211222220001201 has 24 divisors (see below), whose sum is σ = 310270913272320. Its totient is φ = 138427681860000.

The previous prime is 211222220001187. The next prime is 211222220001277. The reversal of 211222220001201 is 102100022222112.

It is a happy number.

211222220001201 is a `hidden beast` number, since 21 + 1 + 222 + 220 + 0 + 0 + 1 + 201 = 666.

It is not a de Polignac number, because 211222220001201 - 226 = 211222152892337 is a prime.

It is a super-2 number, since 2×2112222200012012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222220001281) 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, 315478371 + ... + 316147191.

It is an arithmetic number, because the mean of its divisors is an integer number (12927954719680).

Almost surely, 2211222220001201 is an apocalyptic number.

It is an amenable number.

211222220001201 is a deficient number, since it is larger than the sum of its proper divisors (99048693271119).

211222220001201 is a wasteful number, since it uses less digits than its factorization.

211222220001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263637 (or 1263634 counting only the distinct ones).

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

Adding to 211222220001201 its reverse (102100022222112), we get a palindrome (313322242223313).

The spelling of 211222220001201 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one thousand, two hundred one".

Divisors: 1 3 9 59 177 531 594751 668821 1784253 2006463 5352759 6019389 35090309 39460439 105270927 118381317 315812781 355143951 397781958571 1193345875713 3580037627139 23469135555689 70407406667067 211222220001201