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20321211300 = 223521341167761
BaseRepresentation
bin10010111011001111…
…010001001110100100
31221110012221111022120
4102323033101032210
5313104212230200
613200242025540
71316402305665
oct227317211644
957405844276
1020321211300
118688880905
123b316482b0
131bbb0c12b0
14daac1b36c
157de0699a0
hex4bb3d13a4

20321211300 has 288 divisors, whose sum is σ = 65337318144. Its totient is φ = 4844544000.

The previous prime is 20321211247. The next prime is 20321211301. The reversal of 20321211300 is 311212302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20321211300.

It is not an unprimeable number, because it can be changed into a prime (20321211301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26702920 + ... + 26703680.

It is an arithmetic number, because the mean of its divisors is an integer number (226865688).

Almost surely, 220321211300 is an apocalyptic number.

20321211300 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 20321211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32668659072).

20321211300 is an abundant number, since it is smaller than the sum of its proper divisors (45016106844).

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

20321211300 is a wasteful number, since it uses less digits than its factorization.

20321211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20321211300 its reverse (311212302), we get a palindrome (20632423602).

The spelling of 20321211300 in words is "twenty billion, three hundred twenty-one million, two hundred eleven thousand, three hundred".