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21332002300 = 22527257283419
BaseRepresentation
bin10011110111011111…
…001000010111111100
32001001122220222220021
4103313133020113330
5322141443033200
613444430501524
71353425012350
oct236737102774
961048828807
1021332002300
1190573a5074
1241740648a4
13201c63908b
141065177460
1584cb7d41a
hex4f77c85fc

21332002300 has 144 divisors (see below), whose sum is σ = 53424080640. Its totient is φ = 7242301440.

The previous prime is 21332002273. The next prime is 21332002313. The reversal of 21332002300 is 320023312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50911491 + ... + 50911909.

It is an arithmetic number, because the mean of its divisors is an integer number (371000560).

Almost surely, 221332002300 is an apocalyptic number.

21332002300 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 21332002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26712040320).

21332002300 is an abundant number, since it is smaller than the sum of its proper divisors (32092078340).

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

21332002300 is a wasteful number, since it uses less digits than its factorization.

21332002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 21332002300 its reverse (320023312), we get a palindrome (21652025612).

The spelling of 21332002300 in words is "twenty-one billion, three hundred thirty-two million, two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 257 283 350 419 514 566 700 838 1028 1132 1285 1415 1676 1799 1981 2095 2570 2830 2933 3598 3962 4190 5140 5660 5866 6425 7075 7196 7924 8380 8995 9905 10475 11732 12850 14150 14665 17990 19810 20950 25700 28300 29330 35980 39620 41900 44975 49525 58660 72731 73325 89950 99050 107683 118577 145462 146650 179900 198100 215366 237154 290924 293300 363655 430732 474308 509117 538415 592885 727310 753781 830039 1018234 1076830 1185770 1454620 1507562 1660078 1818275 2036468 2153660 2371540 2545585 2692075 2964425 3015124 3320156 3636550 3768905 4150195 5091170 5384150 5928850 7273100 7537810 8300390 10182340 10768300 11857700 12727925 15075620 16600780 18844525 20750975 25455850 30474289 37689050 41501950 50911700 60948578 75378100 83003900 121897156 152371445 213320023 304742890 426640046 609485780 761857225 853280092 1066600115 1523714450 2133200230 3047428900 4266400460 5333000575 10666001150 21332002300