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212331231000 = 233253773137337
BaseRepresentation
bin1100010110111111101…
…1010111011100011000
3202022001201200010100200
43011233323113130120
511434323243343000
6241313231102200
721224523453540
oct3055773273430
9668051603320
10212331231000
118205a4985a9
1235199371960
131703ac97b75
14a3c3ac2320
1557cad22500
hex316fed7718

212331231000 has 768 divisors, whose sum is σ = 839995004160. Its totient is φ = 47377612800.

The previous prime is 212331230989. The next prime is 212331231037. The reversal of 212331231000 is 132133212.

212331231000 is a `hidden beast` number, since 21 + 2 + 331 + 2 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2123312310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 630062832 + ... + 630063168.

It is an arithmetic number, because the mean of its divisors is an integer number (1093743495).

Almost surely, 2212331231000 is an apocalyptic number.

212331231000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419997502080).

212331231000 is an abundant number, since it is smaller than the sum of its proper divisors (627663773160).

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

212331231000 is a wasteful number, since it uses less digits than its factorization.

212331231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

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

Adding to 212331231000 its reverse (132133212), we get a palindrome (212463364212).

The spelling of 212331231000 in words is "two hundred twelve billion, three hundred thirty-one million, two hundred thirty-one thousand".