Search a number
-
+
213232332312 = 23322961560171
BaseRepresentation
bin1100011010010110100…
…0110010111000011000
3202101101112020210222100
43012211220302320120
511443144434113222
6241542500523400
721256044630216
oct3064550627030
9671345223870
10213232332312
118248210232a
12353ab0b0560
13171528888cc
14a46b647cb6
15582eeba4ac
hex31a5a32e18

213232332312 has 24 divisors (see below), whose sum is σ = 577504233540. Its totient is φ = 71077444080.

The previous prime is 213232332283. The next prime is 213232332329. The reversal of 213232332312 is 213233232312.

213232332312 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 323 + 323 + 12 = 666.

213232332312 is digitally balanced in base 3, 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 an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1480780014 + ... + 1480780157.

Almost surely, 2213232332312 is an apocalyptic number.

It is an amenable number.

213232332312 is an abundant number, since it is smaller than the sum of its proper divisors (364271901228).

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

213232332312 is a wasteful number, since it uses less digits than its factorization.

213232332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961560183 (or 2961560176 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213232332312 its reverse (213233232312), we get a palindrome (426465564624).

The spelling of 213232332312 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2961560171 5923120342 8884680513 11846240684 17769361026 23692481368 26654041539 35538722052 53308083078 71077444104 106616166156 213232332312