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213230220000 = 253547507691
BaseRepresentation
bin1100011010010110000…
…0101111001011100000
3202101101101021111102120
43012211200233023200
511443143414020000
6241542343344240
721256020651660
oct3064540571340
9671341244376
10213230220000
118248099a316
12353aa452080
13171522c9315
14a46b2581a0
15582ebee6a0
hex31a582f2e0

213230220000 has 240 divisors, whose sum is σ = 799359023232. Its totient is φ = 48738240000.

The previous prime is 213230219971. The next prime is 213230220001. The reversal of 213230220000 is 22032312.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213230220001) 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 39 ways as a sum of consecutive naturals, for example, 166155 + ... + 673845.

Almost surely, 2213230220000 is an apocalyptic number.

213230220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399679511616).

213230220000 is an abundant number, since it is smaller than the sum of its proper divisors (586128803232).

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

213230220000 is an equidigital number, since it uses as much as digits as its factorization.

213230220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507731 (or 507708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213230220000 its reverse (22032312), we get a palindrome (213252252312).

The spelling of 213230220000 in words is "two hundred thirteen billion, two hundred thirty million, two hundred twenty thousand".