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213242112330 = 2351319414331621
BaseRepresentation
bin1100011010011000111…
…0000110100101001010
3202101102012122200122020
43012212032012211022
511443204440043310
6241543450305310
721256224022332
oct3064616064512
9671365580566
10213242112330
1182487682195
12353b2428236
13171549012c0
14a46ca720c2
155830c9d170
hex31a638694a

213242112330 has 256 divisors, whose sum is σ = 596046850560. Its totient is φ = 48372940800.

The previous prime is 213242112319. The next prime is 213242112337. The reversal of 213242112330 is 33211242312.

It is a self number, because there is not a number n which added to its sum of digits gives 213242112330.

It is not an unprimeable number, because it can be changed into a prime (213242112337) 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 127 ways as a sum of consecutive naturals, for example, 131548920 + ... + 131550540.

It is an arithmetic number, because the mean of its divisors is an integer number (2328308010).

Almost surely, 2213242112330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213242112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298023425280).

213242112330 is an abundant number, since it is smaller than the sum of its proper divisors (382804738230).

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

213242112330 is a wasteful number, since it uses less digits than its factorization.

213242112330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 213242112330 its reverse (33211242312), we get a palindrome (246453354642).

The spelling of 213242112330 in words is "two hundred thirteen billion, two hundred forty-two million, one hundred twelve thousand, three hundred thirty".