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212220213133032 = 23351331270885301
BaseRepresentation
bin110000010000001101011110…
…011010101111111011101000
31000211102001110112120101200000
4300100031132122233323220
5210304003444030224112
62031204341531143000
762462255501144166
oct6020153632577350
91024361415511600
10212220213133032
11616900a5820375
121b975847ba4a60
13915538487a480
143a5972800a236
151980504c507dc
hexc1035e6afee8

212220213133032 has 192 divisors, whose sum is σ = 662607119516160. Its totient is φ = 63192122784000.

The previous prime is 212220213133031. The next prime is 212220213133067. The reversal of 212220213133032 is 230331312022212.

212220213133032 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 20 + 21 + 313 + 303 + 2 = 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 = 212220213132987 and 212220213133005.

It is not an unprimeable number, because it can be changed into a prime (212220213133031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134659219 + ... + 136226082.

It is an arithmetic number, because the mean of its divisors is an integer number (3451078747480).

Almost surely, 2212220213133032 is an apocalyptic number.

It is an amenable number.

212220213133032 is an abundant number, since it is smaller than the sum of its proper divisors (450386906383128).

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

212220213133032 is a wasteful number, since it uses less digits than its factorization.

212220213133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270885366 (or 270885350 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212220213133032 its reverse (230331312022212), we get a palindrome (442551525155244).

The spelling of 212220213133032 in words is "two hundred twelve trillion, two hundred twenty billion, two hundred thirteen million, one hundred thirty-three thousand, thirty-two".