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21210110110200 = 233521121012892577
BaseRepresentation
bin1001101001010010111010…
…00101000010100111111000
32210002200000001010102120010
410310221131011002213320
510240001301142011300
6113035442353301520
74316244205160604
oct464513505024770
983080001112503
1021210110110200
116838180235600
1224667b2b648a0
13bab14932c46b
145348093ac504
1526bacc42ea50
hex134a5d1429f8

21210110110200 has 288 divisors, whose sum is σ = 72987726455280. Its totient is φ = 5090933760000.

The previous prime is 21210110110109. The next prime is 21210110110207. The reversal of 21210110110200 is 201101101212.

It is a super-2 number, since 2×212101101102002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210110110207) 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, 5886312 + ... + 8778888.

Almost surely, 221210110110200 is an apocalyptic number.

21210110110200 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 21210110110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36493863227640).

21210110110200 is an abundant number, since it is smaller than the sum of its proper divisors (51777616345080).

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

21210110110200 is a wasteful number, since it uses less digits than its factorization.

21210110110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892719 (or 2892699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210110110200 its reverse (201101101212), we get a palindrome (21411211211412).

It can be divided in two parts, 212101 and 10110200, that added together give a palindrome (10322301).

The spelling of 21210110110200 in words is "twenty-one trillion, two hundred ten billion, one hundred ten million, one hundred ten thousand, two hundred".