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21113122200 = 23352412713167
BaseRepresentation
bin10011101010011100…
…001010110110011000
32000111102001201211220
4103222130022312120
5321214424402300
613411011252040
71345126402062
oct235234126630
960442051756
1021113122200
118a54897225
1241128aa020
131cb61a1321
14104407c732
15838844da0
hex4ea70ad98

21113122200 has 192 divisors, whose sum is σ = 67315691520. Its totient is φ = 5470848000.

The previous prime is 21113122189. The next prime is 21113122201. The reversal of 21113122200 is 222131112.

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 21113122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21113122201) 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 47 ways as a sum of consecutive naturals, for example, 6665017 + ... + 6668183.

It is an arithmetic number, because the mean of its divisors is an integer number (350602560).

Almost surely, 221113122200 is an apocalyptic number.

21113122200 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 21113122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33657845760).

21113122200 is an abundant number, since it is smaller than the sum of its proper divisors (46202569320).

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

21113122200 is a wasteful number, since it uses less digits than its factorization.

21113122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21113122200 its reverse (222131112), we get a palindrome (21335253312).

The spelling of 21113122200 in words is "twenty-one billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred".