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212013203322330 = 233567137163524827
BaseRepresentation
bin110000001101001100101011…
…101010111111010111011010
31000210200021010200002102122000
4300031030223222333113122
5210242111020022303310
62030525304312341430
762441306551610244
oct6015145352772732
91023607120072560
10212013203322330
1161610327114693
121b9416b49a4876
13913b9b41cba17
143a4d6cad77094
151979e3b1c54c0
hexc0d32babf5da

212013203322330 has 256 divisors, whose sum is σ = 581542341212160. Its totient is φ = 54947216484864.

The previous prime is 212013203322299. The next prime is 212013203322331. The reversal of 212013203322330 is 33223302310212.

212013203322330 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 3 + 2 + 0 + 3 + 322 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212013203322294 and 212013203322303.

It is not an unprimeable number, because it can be changed into a prime (212013203322331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403705377 + ... + 404230203.

It is an arithmetic number, because the mean of its divisors is an integer number (2271649770360).

Almost surely, 2212013203322330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212013203322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290771170606080).

212013203322330 is an abundant number, since it is smaller than the sum of its proper divisors (369529137889830).

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

212013203322330 is a wasteful number, since it uses less digits than its factorization.

212013203322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525210 (or 525204 counting only the distinct ones).

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

Adding to 212013203322330 its reverse (33223302310212), we get a palindrome (245236505632542).

The spelling of 212013203322330 in words is "two hundred twelve trillion, thirteen billion, two hundred three million, three hundred twenty-two thousand, three hundred thirty".