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21320412300 = 223352111742227
BaseRepresentation
bin10011110110110010…
…111010110010001100
32001000212010011102000
4103312302322302030
5322131011143200
613443334232300
71353224341305
oct236662726214
961025104360
1021320412300
1190508a9360
1241701b5690
13201a10b8a5
1410637db7ac
1584bb3e300
hex4f6cbac8c

21320412300 has 288 divisors, whose sum is σ = 79172432640. Its totient is φ = 4864435200.

The previous prime is 21320412293. The next prime is 21320412301. The reversal of 21320412300 is 321402312.

21320412300 is a `hidden beast` number, since 2 + 1 + 320 + 41 + 2 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21320412301) by changing a digit.

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, 483787 + ... + 526013.

It is an arithmetic number, because the mean of its divisors is an integer number (274904280).

Almost surely, 221320412300 is an apocalyptic number.

21320412300 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 21320412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39586216320).

21320412300 is an abundant number, since it is smaller than the sum of its proper divisors (57852020340).

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

21320412300 is a wasteful number, since it uses less digits than its factorization.

21320412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42278 (or 42265 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320412300 its reverse (321402312), we get a palindrome (21641814612).

The spelling of 21320412300 in words is "twenty-one billion, three hundred twenty million, four hundred twelve thousand, three hundred".