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213021123030 = 2325311012393163
BaseRepresentation
bin1100011001100100001…
…1000110000111010110
3202100211210211021022100
43012121003012013112
511442231401414110
6241505513542530
721250601445552
oct3063103060726
9670753737270
10213021123030
1182383963701
1235350414a46
131711aba84c1
14a44b588862
15581b699bc0
hex31990c61d6

213021123030 has 192 divisors, whose sum is σ = 579980943360. Its totient is φ = 54184032000.

The previous prime is 213021123001. The next prime is 213021123053. The reversal of 213021123030 is 30321120312.

213021123030 is digitally balanced in base 3, 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 = 213021122994 and 213021123012.

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 95 ways as a sum of consecutive naturals, for example, 67346229 + ... + 67349391.

It is an arithmetic number, because the mean of its divisors is an integer number (3020734080).

Almost surely, 2213021123030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213021123030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289990471680).

213021123030 is an abundant number, since it is smaller than the sum of its proper divisors (366959820330).

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

213021123030 is a wasteful number, since it uses less digits than its factorization.

213021123030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213021123030 its reverse (30321120312), we get a palindrome (243342243342).

The spelling of 213021123030 in words is "two hundred thirteen billion, twenty-one million, one hundred twenty-three thousand, thirty".