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213135 = 35131093
BaseRepresentation
bin110100000010001111
3101211100220
4310002033
523310020
64322423
71545246
oct640217
9354326
10213135
1113614a
12a3413
1376020
145795d
1543240
hex3408f

213135 has 16 divisors (see below), whose sum is σ = 367584. Its totient is φ = 104832.

The previous prime is 213133. The next prime is 213139. The reversal of 213135 is 531312.

It is a happy number.

It is not a de Polignac number, because 213135 - 21 = 213133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (22974).

2213135 is an apocalyptic number.

213135 is a deficient number, since it is larger than the sum of its proper divisors (154449).

213135 is a wasteful number, since it uses less digits than its factorization.

213135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114.

The product of its digits is 90, while the sum is 15.

The square root of 213135 is about 461.6654632957. The cubic root of 213135 is about 59.7335406307.

Adding to 213135 its reverse (531312), we get a palindrome (744447).

The spelling of 213135 in words is "two hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 13 15 39 65 195 1093 3279 5465 14209 16395 42627 71045 213135