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21200302200 = 233527111726993
BaseRepresentation
bin10011101111101000…
…101111000001111000
32000201111002221022210
4103233220233001320
5321404234132300
613423404015120
71350235411140
oct235750570170
960644087283
1021200302200
118a9a021910
124137b314a0
131ccb27681c
141051893920
15841316050
hex4efa2f078

21200302200 has 384 divisors, whose sum is σ = 86760875520. Its totient is φ = 4145971200.

The previous prime is 21200302171. The next prime is 21200302223. The reversal of 21200302200 is 220300212.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 771904 + ... + 798896.

It is an arithmetic number, because the mean of its divisors is an integer number (225939780).

Almost surely, 221200302200 is an apocalyptic number.

21200302200 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 21200302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43380437760).

21200302200 is an abundant number, since it is smaller than the sum of its proper divisors (65560573320).

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

21200302200 is a wasteful number, since it uses less digits than its factorization.

21200302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27047 (or 27038 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 21200302200 its reverse (220300212), we get a palindrome (21420602412).

The spelling of 21200302200 in words is "twenty-one billion, two hundred million, three hundred two thousand, two hundred".