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213131222112 = 2532220116897
BaseRepresentation
bin1100011001111110011…
…1000101110001100000
3202101010110222212212010
43012133213011301200
511442443043101422
6241524445432520
721253406332254
oct3063747056140
9671113885763
10213131222112
1182430022786
123538126b740
13171379469a3
14a45c048264
155826196b0c
hex319f9c5c60

213131222112 has 24 divisors (see below), whose sum is σ = 559469458296. Its totient is φ = 71043740672.

The previous prime is 213131222111. The next prime is 213131222177. The reversal of 213131222112 is 211222131312.

213131222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131222111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1110058353 + ... + 1110058544.

It is an arithmetic number, because the mean of its divisors is an integer number (23311227429).

Almost surely, 2213131222112 is an apocalyptic number.

It is an amenable number.

213131222112 is an abundant number, since it is smaller than the sum of its proper divisors (346338236184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213131222112 is a wasteful number, since it uses less digits than its factorization.

213131222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220116910 (or 2220116902 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 213131222112 its reverse (211222131312), we get a palindrome (424353353424).

The spelling of 213131222112 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2220116897 4440233794 6660350691 8880467588 13320701382 17760935176 26641402764 35521870352 53282805528 71043740704 106565611056 213131222112