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21200102300 = 22521319185381
BaseRepresentation
bin10011101111100111…
…111110001110011100
32000201110201210010002
4103233213332032130
5321404211233200
613423355433432
71350233616266
oct235747761634
960643653102
1021200102300
118a999a5703
124137a55878
131ccb206840
141051840b36
158412c6bd5
hex4ef9fe39c

21200102300 has 72 divisors (see below), whose sum is σ = 49802979072. Its totient is φ = 7786656000.

The previous prime is 21200102299. The next prime is 21200102311. The reversal of 21200102300 is 320100212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205610 + ... + 290990.

Almost surely, 221200102300 is an apocalyptic number.

21200102300 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 21200102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24901489536).

21200102300 is an abundant number, since it is smaller than the sum of its proper divisors (28602876772).

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

21200102300 is a wasteful number, since it uses less digits than its factorization.

21200102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85599 (or 85592 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 21200102300 its reverse (320100212), we get a palindrome (21520202512).

The spelling of 21200102300 in words is "twenty-one billion, two hundred million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 191 260 325 382 650 764 955 1300 1910 2483 3820 4775 4966 9550 9932 12415 19100 24830 49660 62075 85381 124150 170762 248300 341524 426905 853810 1109953 1707620 2134525 2219906 4269050 4439812 5549765 8538100 11099530 16307771 22199060 27748825 32615542 55497650 65231084 81538855 110995300 163077710 212001023 326155420 407694275 424002046 815388550 848004092 1060005115 1630777100 2120010230 4240020460 5300025575 10600051150 21200102300