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21300204300 = 223521031634229
BaseRepresentation
bin10011110101100101…
…110101001100001100
32000222110002111020120
4103311211311030030
5322110323014200
613441333144540
71352560514664
oct236545651414
960873074216
1021300204300
119040456831
12416548b150
132015b848ab
141060c5b1a4
15849e9b9a0
hex4f597530c

21300204300 has 144 divisors (see below), whose sum is σ = 62623491840. Its totient is φ = 5589077760.

The previous prime is 21300204283. The next prime is 21300204313. The reversal of 21300204300 is 340200312.

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 21300204300.

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, 5034586 + ... + 5038814.

It is an arithmetic number, because the mean of its divisors is an integer number (434885360).

Almost surely, 221300204300 is an apocalyptic number.

21300204300 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 21300204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31311745920).

21300204300 is an abundant number, since it is smaller than the sum of its proper divisors (41323287540).

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

21300204300 is a wasteful number, since it uses less digits than its factorization.

21300204300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4512 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21300204300 its reverse (340200312), we get a palindrome (21640404612).

The spelling of 21300204300 in words is "twenty-one billion, three hundred million, two hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 163 206 300 309 326 412 489 515 618 652 815 978 1030 1236 1545 1630 1956 2060 2445 2575 3090 3260 4075 4229 4890 5150 6180 7725 8150 8458 9780 10300 12225 12687 15450 16300 16789 16916 21145 24450 25374 30900 33578 42290 48900 50367 50748 63435 67156 83945 84580 100734 105725 126870 167890 201468 211450 251835 253740 317175 335780 419725 422900 435587 503670 634350 689327 839450 871174 1007340 1259175 1268700 1306761 1378654 1678900 1742348 2067981 2177935 2518350 2613522 2757308 3446635 4135962 4355870 5036700 5227044 6533805 6893270 8271924 8711740 10339905 10889675 13067610 13786540 17233175 20679810 21779350 26135220 32669025 34466350 41359620 43558700 51699525 65338050 68932700 71000681 103399050 130676100 142001362 206798100 213002043 284002724 355003405 426004086 710006810 852008172 1065010215 1420013620 1775017025 2130020430 3550034050 4260040860 5325051075 7100068100 10650102150 21300204300