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212011112201211 = 32193229751531253
BaseRepresentation
bin110000001101001010101111…
…000001111111101111111011
31000210200001201221021110201200
4300031022233001333233323
5210242042224210414321
62030524321012345243
762441204000433231
oct6015125701775773
91023601657243650
10212011112201211
116160a4537a0414
121b941210615223
13913b73cbcc34b
143a4d56d35c951
151979d67813d26
hexc0d2af07fbfb

212011112201211 has 24 divisors (see below), whose sum is σ = 307826919238176. Its totient is φ = 140607529344000.

The previous prime is 212011112201197. The next prime is 212011112201221. The reversal of 212011112201211 is 112102211110212.

It is a happy number.

212011112201211 is a `hidden beast` number, since 2 + 120 + 1 + 111 + 220 + 1 + 211 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212011112201211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212011112201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398811861 + ... + 399343113.

It is an arithmetic number, because the mean of its divisors is an integer number (12826121634924).

Almost surely, 2212011112201211 is an apocalyptic number.

212011112201211 is a deficient number, since it is larger than the sum of its proper divisors (95815807036965).

212011112201211 is a wasteful number, since it uses less digits than its factorization.

212011112201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761203 (or 761200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212011112201211 its reverse (112102211110212), we get a palindrome (324113323311423).

The spelling of 212011112201211 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, two hundred one thousand, two hundred eleven".

Divisors: 1 3 9 193 579 1737 229751 531253 689253 1593759 2067759 4781277 44341943 102531829 133025829 307595487 399077487 922786461 122055908003 366167724009 1098503172027 23556790244579 70670370733737 212011112201211