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213111 = 35877
BaseRepresentation
bin110100000001110111
3101211100000
4310001313
523304421
64322343
71545213
oct640167
9354300
10213111
11136128
12a33b3
1376002
1457943
1543226
hex34077

213111 has 12 divisors (see below), whose sum is σ = 319592. Its totient is φ = 141912.

The previous prime is 213097. The next prime is 213119. The reversal of 213111 is 111312.

213111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213111 - 25 = 213079 is a prime.

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

It is a Duffinian number.

213111 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213093 and 213102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213111.

It is not an unprimeable number, because it can be changed into a prime (213119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 681.

2213111 is an apocalyptic number.

213111 is a deficient number, since it is larger than the sum of its proper divisors (106481).

213111 is an frugal number, since it uses more digits than its factorization.

213111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its digits is 6, while the sum is 9.

The square root of 213111 is about 461.6394697164. The cubic root of 213111 is about 59.7312984543.

Adding to 213111 its reverse (111312), we get a palindrome (324423).

It can be divided in two parts, 21311 and 1, that added together give a palindrome (21312).

The spelling of 213111 in words is "two hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 9 27 81 243 877 2631 7893 23679 71037 213111