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21031223020200 = 233252401143320333
BaseRepresentation
bin1001100100000101101101…
…00100111100101010101000
32202110120021002111200211100
410302002312210330222220
510224033421043121300
6112421335510201400
74300312212043221
oct462026644745250
982416232450740
1021031223020200
116779323126158
122437baa053260
13b9730b138b53
14529cb9312248
1526710c7ac700
hex1320b693caa8

21031223020200 has 288 divisors, whose sum is σ = 70858887386040. Its totient is φ = 5590161408000.

The previous prime is 21031223020169. The next prime is 21031223020207. The reversal of 21031223020200 is 202032213012.

21031223020200 is a `hidden beast` number, since 210 + 3 + 1 + 2 + 230 + 20 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 16266266657316 + 4764956362884 = 4033146^2 + 2182878^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21031223020207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1034329234 + ... + 1034349566.

Almost surely, 221031223020200 is an apocalyptic number.

21031223020200 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 21031223020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35429443693020).

21031223020200 is an abundant number, since it is smaller than the sum of its proper divisors (49827664365840).

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

21031223020200 is a wasteful number, since it uses less digits than its factorization.

21031223020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21031223020200 its reverse (202032213012), we get a palindrome (21233255233212).

The spelling of 21031223020200 in words is "twenty-one trillion, thirty-one billion, two hundred twenty-three million, twenty thousand, two hundred".