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213210111213 = 32113169472177
BaseRepresentation
bin1100011010010001010…
…0000001110011101101
3202101022222102212100200
43012210110001303231
511443123242024323
6241540344344113
721255355020531
oct3064424016355
9671288385320
10213210111213
1182470605290
12353a3775039
131714b0a8528
14a468701bc1
15582d07b443
hex31a4501ced

213210111213 has 24 divisors (see below), whose sum is σ = 346805112576. Its totient is φ = 125049916800.

The previous prime is 213210111109. The next prime is 213210111217. The reversal of 213210111213 is 312111012312.

213210111213 is a `hidden beast` number, since 21 + 321 + 0 + 111 + 213 = 666.

It is not a de Polignac number, because 213210111213 - 220 = 213209062637 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 (213210111217) 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, 34733020 + ... + 34739157.

It is an arithmetic number, because the mean of its divisors is an integer number (14450213024).

Almost surely, 2213210111213 is an apocalyptic number.

It is an amenable number.

213210111213 is a deficient number, since it is larger than the sum of its proper divisors (133595001363).

213210111213 is a wasteful number, since it uses less digits than its factorization.

213210111213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69472225 (or 69472222 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213210111213 its reverse (312111012312), we get a palindrome (525321123525).

It can be divided in two parts, 213210 and 111213, that added together give a palindrome (324423).

The spelling of 213210111213 in words is "two hundred thirteen billion, two hundred ten million, one hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 69472177 208416531 625249593 764193947 2153637487 2292581841 6460912461 6877745523 19382737383 23690012357 71070037071 213210111213