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213109 = 13397
BaseRepresentation
bin110100000001110101
3101211022221
4310001311
523304414
64322341
71545211
oct640165
9354287
10213109
11136126
12a33b1
1376000
1457941
1543224
hex34075

213109 has 8 divisors (see below), whose sum is σ = 233240. Its totient is φ = 194688.

The previous prime is 213097. The next prime is 213119. The reversal of 213109 is 901312.

It can be written as a sum of positive squares in 4 ways, for example, as 70225 + 142884 = 265^2 + 378^2 .

It is not a de Polignac number, because 213109 - 27 = 212981 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 213092 and 213101.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2149 + ... + 2245.

It is an arithmetic number, because the mean of its divisors is an integer number (29155).

2213109 is an apocalyptic number.

It is an amenable number.

213109 is a deficient number, since it is larger than the sum of its proper divisors (20131).

213109 is an frugal number, since it uses more digits than its factorization.

213109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 213109 is about 461.6373035187. The cubic root of 213109 is about 59.7311115987.

The spelling of 213109 in words is "two hundred thirteen thousand, one hundred nine".

Divisors: 1 13 97 169 1261 2197 16393 213109