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21102112200 = 23352136074457
BaseRepresentation
bin10011101001110010…
…001010110111001000
32000110122100100222010
4103221302022313020
5321204120042300
613405535255520
71344633665001
oct235162126710
960418310863
1021102112200
118a49657254
12410b07a5a0
131cb3b17b30
1410428141a8
158378bca50
hex4e9c8adc8

21102112200 has 192 divisors, whose sum is σ = 70580482560. Its totient is φ = 5184645120.

The previous prime is 21102112169. The next prime is 21102112201. The reversal of 21102112200 is 221120112.

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

It is not an unprimeable number, because it can be changed into a prime (21102112201) 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, 4732372 + ... + 4736828.

It is an arithmetic number, because the mean of its divisors is an integer number (367606680).

Almost surely, 221102112200 is an apocalyptic number.

21102112200 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 21102112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35290241280).

21102112200 is an abundant number, since it is smaller than the sum of its proper divisors (49478370360).

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

21102112200 is a wasteful number, since it uses less digits than its factorization.

21102112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21102112200 its reverse (221120112), we get a palindrome (21323232312).

The spelling of 21102112200 in words is "twenty-one billion, one hundred two million, one hundred twelve thousand, two hundred".