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212011112000211 = 3211821407954527
BaseRepresentation
bin110000001101001010101111…
…000001001110101011010011
31000210200001201220220021000020
4300031022233001032223103
5210242042224133001321
62030524321004154523
762441203665635226
oct6015125701165323
91023601656807006
10212011112000211
116160a4536733a7
121b941210538a43
13913b73cb5ba04
143a4d56d3095bd
151979d677c44c6
hexc0d2af04ead3

212011112000211 has 16 divisors (see below), whose sum is σ = 284367151469568. Its totient is φ = 140499538754400.

The previous prime is 212011112000179. The next prime is 212011112000231. The reversal of 212011112000211 is 112000211110212.

It is a happy number.

It is not a de Polignac number, because 212011112000211 - 25 = 212011112000179 is a prime.

It is a super-5 number, since 5×2120111120002115 (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212011112000231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203457571 + ... + 204496956.

It is an arithmetic number, because the mean of its divisors is an integer number (17772946966848).

Almost surely, 2212011112000211 is an apocalyptic number.

212011112000211 is a deficient number, since it is larger than the sum of its proper divisors (72356039469357).

212011112000211 is a wasteful number, since it uses less digits than its factorization.

212011112000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407955562.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212011112000211 its reverse (112000211110212), we get a palindrome (324011323110423).

The spelling of 212011112000211 in words is "two hundred twelve trillion, eleven billion, one hundred twelve million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 211 633 821 2463 173231 519693 407954527 1223863581 86078405197 258235215591 334930666667 1004792000001 70670370666737 212011112000211