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212330313003312 = 243274118140969401
BaseRepresentation
bin110000010001110100000000…
…111000011011000100110000
31000211210120122120220022022100
4300101310000320123010300
5210312304440112101222
62031331111005340400
762503234044456510
oct6021640070330460
91024716576808270
10212330313003312
11617228642834a9
121b993054267700
13916287c973aca
143a60bb0589840
1519832ea9c44ac
hexc11d00e1b130

212330313003312 has 480 divisors, whose sum is σ = 701247868513920. Its totient is φ = 58714398720000.

The previous prime is 212330313003299. The next prime is 212330313003331. The reversal of 212330313003312 is 213300313033212.

212330313003312 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 30 + 313 + 0 + 0 + 3 + 312 = 666.

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, 3059435812 + ... + 3059505212.

It is an arithmetic number, because the mean of its divisors is an integer number (1460933059404).

Almost surely, 2212330313003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212330313003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350623934256960).

212330313003312 is an abundant number, since it is smaller than the sum of its proper divisors (488917555510608).

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

212330313003312 is a wasteful number, since it uses less digits than its factorization.

212330313003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70053 (or 70044 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 212330313003312 its reverse (213300313033212), we get a palindrome (425630626036524).

The spelling of 212330313003312 in words is "two hundred twelve trillion, three hundred thirty billion, three hundred thirteen million, three thousand, three hundred twelve".