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211101100200211 = 13172344992496233
BaseRepresentation
bin101111111111111011001110…
…000101101101000100010011
31000200110001211122011001002111
4233333323032011231010103
5210132140023122401321
62024550301233130151
762315360025155344
oct5777731605550423
91020401748131074
10211101100200211
116129952373a031
121b8149833b9957
1390a39961134c0
143a1b4c23ac0cb
1519613563585e1
hexbffece16d113

211101100200211 has 32 divisors (see below), whose sum is σ = 251737750454400. Its totient is φ = 175035429617664.

The previous prime is 211101100200191. The next prime is 211101100200229. The reversal of 211101100200211 is 112002001101112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 211101100200211 - 213 = 211101100192019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211101100200191 and 211101100200200.

It is not an unprimeable number, because it can be changed into a prime (211101100200241) 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 31 ways as a sum of consecutive naturals, for example, 43965850 + ... + 48530383.

It is an arithmetic number, because the mean of its divisors is an integer number (7866804701700).

Almost surely, 2211101100200211 is an apocalyptic number.

211101100200211 is a deficient number, since it is larger than the sum of its proper divisors (40636650254189).

211101100200211 is a wasteful number, since it uses less digits than its factorization.

211101100200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92496735.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211101100200211 its reverse (112002001101112), we get a palindrome (323103101301323).

Subtracting from 211101100200211 its reverse (112002001101112), we obtain a palindrome (99099099099099).

The spelling of 211101100200211 in words is "two hundred eleven trillion, one hundred one billion, one hundred million, two hundred thousand, two hundred eleven".

Divisors: 1 13 17 23 221 299 391 449 5083 5837 7633 10327 99229 134251 175559 2282267 92496233 1202451029 1572435961 2127413359 20441667493 27656373667 36166027103 41530808617 470158352339 539900512021 706023746489 955208598191 9178308704357 12417711776483 16238546169247 211101100200211