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212212122323130 = 238537478322409
BaseRepresentation
bin110000010000000101111100…
…001010110000100010111010
31000211101021120200021200000000
4300100011330022300202322
5210303340411303320010
62031200523025053430
762461551135326136
oct6020057412604272
91024337520250000
10212212122323130
1161687723769116
121b97416a487276
1391546955908a7
143a5919b6643c6
1519801ce7b87c0
hexc1017c2b08ba

212212122323130 has 576 divisors, whose sum is σ = 608215821857280. Its totient is φ = 53237303571456.

The previous prime is 212212122323041. The next prime is 212212122323191. The reversal of 212212122323130 is 31323221212212.

212212122323130 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 121 + 223 + 2 + 313 + 0 = 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 = 212212122323094 and 212212122323103.

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 287 ways as a sum of consecutive naturals, for example, 9469939366 + ... + 9469961774.

It is an arithmetic number, because the mean of its divisors is an integer number (1055930246280).

Almost surely, 2212212122323130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212122323130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304107910928640).

212212122323130 is an abundant number, since it is smaller than the sum of its proper divisors (396003699534150).

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

212212122323130 is an equidigital number, since it uses as much as digits as its factorization.

212212122323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22607 (or 22586 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 212212122323130 its reverse (31323221212212), we get a palindrome (243535343535342).

The spelling of 212212122323130 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twenty-two million, three hundred twenty-three thousand, one hundred thirty".