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21210213231200 = 25527101181120707
BaseRepresentation
bin1001101001010011000110…
…01110011010101001100000
32210002200021020011111222102
410310221203032122221200
510240002004041344300
6113035500515425532
74316246566532120
oct464514316325140
983080236144872
1021210213231200
116838223468974
1224668215b52a8
13bab1647c66c6
14534818d72c80
1526bad64ee0d5
hex134a6339aa60

21210213231200 has 288 divisors, whose sum is σ = 59798288164608. Its totient is φ = 7195749120000.

The previous prime is 21210213231199. The next prime is 21210213231223. The reversal of 21210213231200 is 213231201212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024291247 + ... + 1024311953.

It is an arithmetic number, because the mean of its divisors is an integer number (207632945016).

Almost surely, 221210213231200 is an apocalyptic number.

21210213231200 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 21210213231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29899144082304).

21210213231200 is an abundant number, since it is smaller than the sum of its proper divisors (38588074933408).

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

21210213231200 is a wasteful number, since it uses less digits than its factorization.

21210213231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22646 (or 22633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 21210213231200 its reverse (213231201212), we get a palindrome (21423444432412).

The spelling of 21210213231200 in words is "twenty-one trillion, two hundred ten billion, two hundred thirteen million, two hundred thirty-one thousand, two hundred".