Search a number
-
+
211222220012201 = 10335944323335527
BaseRepresentation
bin110000000001101100000001…
…011001000111101010101001
31000200212122110200102222212002
4300001230001121013222221
5210141131101310342301
62025122052011100345
762330205342450626
oct6001540131075251
91020778420388762
10211222220012201
1161335927710502
121b8343461416b5
1390b22292c71c8
143a232d232d34d
1519645947aa16b
hexc01b01647aa9

211222220012201 has 32 divisors (see below), whose sum is σ = 214480442142720. Its totient is φ = 207991168317504.

The previous prime is 211222220012189. The next prime is 211222220012227. The reversal of 211222220012201 is 102210022222112.

It is a cyclic number.

It is not a de Polignac number, because 211222220012201 - 210 = 211222220011177 is a prime.

It is a super-2 number, since 2×2112222200122012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211222220012291) 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 31 ways as a sum of consecutive naturals, for example, 38216429300 + ... + 38216434826.

It is an arithmetic number, because the mean of its divisors is an integer number (6702513816960).

Almost surely, 2211222220012201 is an apocalyptic number.

It is an amenable number.

211222220012201 is a deficient number, since it is larger than the sum of its proper divisors (3258222130519).

211222220012201 is a wasteful number, since it uses less digits than its factorization.

211222220012201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211222220012201 its reverse (102210022222112), we get a palindrome (313432242234313).

The spelling of 211222220012201 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, twelve thousand, two hundred one".

Divisors: 1 103 359 443 2333 5527 36977 45629 159037 240299 569281 837547 1033519 1984193 2448461 12894491 16380811 86267341 106452457 204371879 252191483 371033321 878997499 1328132573 4629122269 5712259513 38216432063 90536742397 476799593707 588362729839 2050701165167 211222220012201