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21301203300 = 223521322724061
BaseRepresentation
bin10011110101101001…
…101001000101100100
32000222111222020121120
4103311221221011210
5322111102001200
613441410413540
71352602145346
oct236551510544
960874866546
1021301203300
119040a79353
1241658912b0
132016144510
14106103b296
1584a0e79a0
hex4f5a69164

21301203300 has 144 divisors (see below), whose sum is σ = 66667524672. Its totient is φ = 5220057600.

The previous prime is 21301203281. The next prime is 21301203323. The reversal of 21301203300 is 330210312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21301203300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873270 + ... + 897330.

Almost surely, 221301203300 is an apocalyptic number.

21301203300 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 21301203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33333762336).

21301203300 is an abundant number, since it is smaller than the sum of its proper divisors (45366321372).

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

21301203300 is a wasteful number, since it uses less digits than its factorization.

21301203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24318 (or 24311 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21301203300 its reverse (330210312), we get a palindrome (21631413612).

The spelling of 21301203300 in words is "twenty-one billion, three hundred one million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 227 260 300 325 390 454 650 681 780 908 975 1135 1300 1362 1950 2270 2724 2951 3405 3900 4540 5675 5902 6810 8853 11350 11804 13620 14755 17025 17706 22700 24061 29510 34050 35412 44265 48122 59020 68100 72183 73775 88530 96244 120305 144366 147550 177060 221325 240610 288732 295100 312793 360915 442650 481220 601525 625586 721830 885300 938379 1203050 1251172 1443660 1563965 1804575 1876758 2406100 3127930 3609150 3753516 4691895 5461847 6255860 7218300 7819825 9383790 10923694 15639650 16385541 18767580 21847388 23459475 27309235 31279300 32771082 46918950 54618470 65542164 71004011 81927705 93837900 109236940 136546175 142008022 163855410 213012033 273092350 284016044 327710820 355020055 409638525 426024066 546184700 710040110 819277050 852048132 1065060165 1420080220 1638554100 1775100275 2130120330 3550200550 4260240660 5325300825 7100401100 10650601650 21301203300