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213232102020 = 223357402114029
BaseRepresentation
bin1100011010010110011…
…1111010101010000100
3202101101111211010002000
43012211213322222010
511443144404231040
6241542451545300
721256042650630
oct3064547725204
9671344733060
10213232102020
1182481a65303
12353aabbb230
1317152807b42
14a46b5c7dc0
15582ee72130
hex31a59faa84

213232102020 has 192 divisors, whose sum is σ = 758401190400. Its totient is φ = 48723171840.

The previous prime is 213232102003. The next prime is 213232102067. The reversal of 213232102020 is 20201232312.

213232102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213232101984 and 213232102002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15192366 + ... + 15206394.

It is an arithmetic number, because the mean of its divisors is an integer number (3950006200).

Almost surely, 2213232102020 is an apocalyptic number.

213232102020 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 213232102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379200595200).

213232102020 is an abundant number, since it is smaller than the sum of its proper divisors (545169088380).

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

213232102020 is a wasteful number, since it uses less digits than its factorization.

213232102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18075 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213232102020 its reverse (20201232312), we get a palindrome (233433334332).

The spelling of 213232102020 in words is "two hundred thirteen billion, two hundred thirty-two million, one hundred two thousand, twenty".