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212213133000 = 233253112143567
BaseRepresentation
bin1100010110100011100…
…0110110111011001000
3202021202111110010100200
43011220320312323020
511434103030224000
6241253411532200
721221560603521
oct3055070667310
9667674403320
10212213133000
1181aa9865850
12351658ba060
131701c6888ab
14a3b213d848
1557c0795500
hex3168e36ec8

212213133000 has 192 divisors, whose sum is σ = 782488062720. Its totient is φ = 51445584000.

The previous prime is 212213132969. The next prime is 212213133001. The reversal of 212213133000 is 331312212.

212213133000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212213133001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 972784 + ... + 1170783.

It is an arithmetic number, because the mean of its divisors is an integer number (4075458660).

Almost surely, 2212213133000 is an apocalyptic number.

212213133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213133000 is an abundant number, since it is smaller than the sum of its proper divisors (570274929720).

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

212213133000 is a wasteful number, since it uses less digits than its factorization.

212213133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143605 (or 2143588 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212213133000 its reverse (331312212), we get a palindrome (212544445212).

The spelling of 212213133000 in words is "two hundred twelve billion, two hundred thirteen million, one hundred thirty-three thousand".