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211222102202001 = 321121571235412037
BaseRepresentation
bin110000000001101011111010…
…010111101101011010010001
31000200212122011110202121122100
4300001223322113231122101
5210141130331130431001
62025122032202031013
762330202412206642
oct6001537227553221
91020778143677570
10211222102202001
1161335877164a00
121b8343127a8469
1390b220aa88c27
143a232c08236c9
151964589288586
hexc01afa5ed691

211222102202001 has 36 divisors (see below), whose sum is σ = 337492331364916. Its totient is φ = 127198023226560.

The previous prime is 211222102201991. The next prime is 211222102202051. The reversal of 211222102202001 is 100202201222112.

It is a happy number.

211222102202001 is a `hidden beast` number, since 2 + 11 + 22 + 210 + 220 + 200 + 1 = 666.

211222102202001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 125095814021376 + 86126288180625 = 11184624^2 + 9280425^2 .

It is not a de Polignac number, because 211222102202001 - 241 = 209023078946449 is a prime.

It is a super-2 number, since 2×2112221022020012 (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 (211222102202051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 617535046 + ... + 617876991.

Almost surely, 2211222102202001 is an apocalyptic number.

It is an amenable number.

211222102202001 is a deficient number, since it is larger than the sum of its proper divisors (126270229162915).

211222102202001 is a wasteful number, since it uses less digits than its factorization.

211222102202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235412222 (or 1235412208 counting only the distinct ones).

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

Adding to 211222102202001 its reverse (100202201222112), we get a palindrome (311424303424113).

The spelling of 211222102202001 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred two million, two hundred two thousand, one".

Divisors: 1 3 9 11 33 99 121 157 363 471 1089 1413 1727 5181 15543 18997 56991 170973 1235412037 3706236111 11118708333 13589532407 40768597221 122305791663 149484856477 193959689809 448454569431 581879069427 1345363708293 1745637208281 2133556587899 6400669763697 19202009291091 23469122466889 70407367400667 211222102202001