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211323313212000 = 25353112297699091
BaseRepresentation
bin110000000011001010001011…
…000001000100101001100000
31000201020022102001010122022020
4300003022023001010221200
5210144310121140241000
62025240331225141440
762340414462460563
oct6003121301045140
91021208361118266
10211323313212000
1161374794136810
121b84ba5a02a880
1390bb91a446322
143a2816263c4da
15196700e985ba0
hexc0328b044a60

211323313212000 has 768 divisors, whose sum is σ = 759598980940800. Its totient is φ = 50934251520000.

The previous prime is 211323313211981. The next prime is 211323313212001. The reversal of 211323313212000 is 212313323112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323313212001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23245327455 + ... + 23245336545.

It is an arithmetic number, because the mean of its divisors is an integer number (989061173100).

Almost surely, 2211323313212000 is an apocalyptic number.

211323313212000 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 211323313212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379799490470400).

211323313212000 is an abundant number, since it is smaller than the sum of its proper divisors (548275667728800).

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

211323313212000 is a wasteful number, since it uses less digits than its factorization.

211323313212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 211323313212000 its reverse (212313323112), we get a palindrome (211535626535112).

The spelling of 211323313212000 in words is "two hundred eleven trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred twelve thousand".