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211001100111 = 3277341277349
BaseRepresentation
bin1100010010000010100…
…1010100011101001111
3202011122000210110210200
43010200221110131033
511424112240200421
6240533233504543
721146542521114
oct3044051243517
9664560713720
10211001100111
118153769057a
1234a87a12153
1316b88540479
14a2d919a90b
15574e17e726
hex3120a5474f

211001100111 has 24 divisors (see below), whose sum is σ = 305289129600. Its totient is φ = 140432271936.

The previous prime is 211001100097. The next prime is 211001100113. The reversal of 211001100111 is 111001100112.

It is not a de Polignac number, because 211001100111 - 219 = 211000575823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211001100093 and 211001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28707865 + ... + 28715213.

It is an arithmetic number, because the mean of its divisors is an integer number (12720380400).

Almost surely, 2211001100111 is an apocalyptic number.

211001100111 is a deficient number, since it is larger than the sum of its proper divisors (94288029489).

211001100111 is a wasteful number, since it uses less digits than its factorization.

211001100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12255 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 211001100111 its reverse (111001100112), we get a palindrome (322002200223).

Subtracting from 211001100111 its reverse (111001100112), we obtain a palindrome (99999999999).

It can be divided in two parts, 21100 and 1100111, that added together give a palindrome (1121211).

The spelling of 211001100111 in words is "two hundred eleven billion, one million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 773 2319 4127 6957 7349 12381 22047 37143 66141 3190171 5680777 9570513 17042331 28711539 30329323 51126993 90987969 272963907 23444566679 70333700037 211001100111