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212334343122330 = 23251113293118351941
BaseRepresentation
bin110000010001110111110001…
…000110000110110110011010
31000211210222001110021120021200
4300101313301012012312122
5210312341213314403310
62031333014533015030
762503435652065602
oct6021676106066632
91024728043246250
10212334343122330
1161724542169580
121b993999a84476
1391630728ac710
143a610738ddc02
1519834846e89c0
hexc11df1186d9a

212334343122330 has 384 divisors, whose sum is σ = 692593482147840. Its totient is φ = 44397013248000.

The previous prime is 212334343122313. The next prime is 212334343122383. The reversal of 212334343122330 is 33221343433212.

212334343122330 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 3 + 4 + 3 + 4 + 312 + 2 + 330 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2394160 + ... + 20746100.

It is an arithmetic number, because the mean of its divisors is an integer number (1803628859760).

Almost surely, 2212334343122330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212334343122330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346296741073920).

212334343122330 is an abundant number, since it is smaller than the sum of its proper divisors (480259139025510).

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

212334343122330 is a wasteful number, since it uses less digits than its factorization.

212334343122330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18352038 (or 18352035 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 212334343122330 its reverse (33221343433212), we get a palindrome (245555686555542).

The spelling of 212334343122330 in words is "two hundred twelve trillion, three hundred thirty-four billion, three hundred forty-three million, one hundred twenty-two thousand, three hundred thirty".