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21340000000 = 28571197
BaseRepresentation
bin10011110111111101…
…101000111100000000
32001002012222022200101
4103313331220330000
5322201020000000
613445314132144
71353553002304
oct236775507400
961065868611
1021340000000
119060967940
124176881054
1320211a9447
141066259d04
1584d70ce6a
hex4f7f68f00

21340000000 has 288 divisors, whose sum is σ = 58685006016. Its totient is φ = 7680000000.

The previous prime is 21339999997. The next prime is 21340000027. The reversal of 21340000000 is 4312.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 31 ways as a sum of consecutive naturals, for example, 219999952 + ... + 220000048.

It is an arithmetic number, because the mean of its divisors is an integer number (203767382).

Almost surely, 221340000000 is an apocalyptic number.

21340000000 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 21340000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29342503008).

21340000000 is an abundant number, since it is smaller than the sum of its proper divisors (37345006016).

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

21340000000 is an frugal number, since it uses more digits than its factorization.

21340000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 21340000000 its reverse (4312), we get a palindrome (21340004312).

The spelling of 21340000000 in words is "twenty-one billion, three hundred forty million", and thus it is an aban number.