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213213 = 37111371
BaseRepresentation
bin110100000011011101
3101211110210
4310003131
523310323
64323033
71545420
oct640335
9354423
10213213
11136210
12a3479
1376080
14579b7
1543293
hex340dd

213213 has 32 divisors (see below), whose sum is σ = 387072. Its totient is φ = 100800.

The previous prime is 213209. The next prime is 213217. The reversal of 213213 is 312312.

It is a happy number.

213213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213209) and next prime (213217).

It is not a de Polignac number, because 213213 - 22 = 213209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2213213 is an apocalyptic number.

It is an amenable number.

213213 is a deficient number, since it is larger than the sum of its proper divisors (173859).

213213 is a wasteful number, since it uses less digits than its factorization.

213213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105.

The product of its digits is 36, while the sum is 12.

The square root of 213213 is about 461.7499323227. The cubic root of 213213 is about 59.7408265417.

Adding to 213213 its reverse (312312), we get a palindrome (525525).

Subtracting 213213 from its reverse (312312), we obtain a palindrome (99099).

It can be divided in two parts, 2132 and 13, that added together give a triangular number (2145 = T65).

The spelling of 213213 in words is "two hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 71 77 91 143 213 231 273 429 497 781 923 1001 1491 2343 2769 3003 5467 6461 10153 16401 19383 30459 71071 213213