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21421120300 = 225217101124759
BaseRepresentation
bin10011111100110011…
…000101101100101100
32001021212121122210221
4103330303011230230
5322332301322200
613501332541124
71355556342526
oct237463055454
961255548727
1021421120300
1190a2733808
124199a817a4
132034c3c718
141072d34a16
158558d391a
hex4fccc5b2c

21421120300 has 72 divisors (see below), whose sum is σ = 49705881120. Its totient is φ = 7984512000.

The previous prime is 21421120291. The next prime is 21421120307. The reversal of 21421120300 is 302112412.

It is not an unprimeable number, because it can be changed into a prime (21421120307) 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 23 ways as a sum of consecutive naturals, for example, 109321 + ... + 234079.

It is an arithmetic number, because the mean of its divisors is an integer number (690359460).

Almost surely, 221421120300 is an apocalyptic number.

21421120300 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 21421120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24852940560).

21421120300 is an abundant number, since it is smaller than the sum of its proper divisors (28284760820).

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

21421120300 is a wasteful number, since it uses less digits than its factorization.

21421120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124891 (or 124884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21421120300 its reverse (302112412), we get a palindrome (21723232712).

The spelling of 21421120300 in words is "twenty-one billion, four hundred twenty-one million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 340 404 425 505 850 1010 1700 1717 2020 2525 3434 5050 6868 8585 10100 17170 34340 42925 85850 124759 171700 249518 499036 623795 1247590 2120903 2495180 3118975 4241806 6237950 8483612 10604515 12475900 12600659 21209030 25201318 42418060 50402636 53022575 63003295 106045150 126006590 212090300 214211203 252013180 315016475 428422406 630032950 856844812 1071056015 1260065900 2142112030 4284224060 5355280075 10710560150 21421120300