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211230030000 = 24354111959571
BaseRepresentation
bin1100010010111001001…
…0100111100010110000
3202012012222120022120110
43010232102213202300
511430044341430000
6241012052341320
721155322426153
oct3045622474260
9665188508513
10211230030000
1181644932a30
1234b30614840
1316bc3ab6642
14a31b74dc9a
155764300850
hex312e4a78b0

211230030000 has 800 divisors, whose sum is σ = 797684659200. Its totient is φ = 47606400000.

The previous prime is 211230029953. The next prime is 211230030001. The reversal of 211230030000 is 30032112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211230030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 369929715 + ... + 369930285.

It is an arithmetic number, because the mean of its divisors is an integer number (997105824).

Almost surely, 2211230030000 is an apocalyptic number.

211230030000 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 211230030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398842329600).

211230030000 is an abundant number, since it is smaller than the sum of its proper divisors (586454629200).

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

211230030000 is a wasteful number, since it uses less digits than its factorization.

211230030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 211230030000 its reverse (30032112), we get a palindrome (211260062112).

The spelling of 211230030000 in words is "two hundred eleven billion, two hundred thirty million, thirty thousand".