Search a number
-
+
21103303200 = 2535271256149
BaseRepresentation
bin10011101001110110…
…101101101000100000
32000110201120212201020
4103221312231220200
5321204421200300
613410021005440
71344650055210
oct235166555040
960421525636
1021103303200
118a4a2a0051
12410b553880
131cb4143c75
141042a44240
15837a558a0
hex4e9dada20

21103303200 has 144 divisors (see below), whose sum is σ = 78504350400. Its totient is φ = 4823608320.

The previous prime is 21103303187. The next prime is 21103303201. The reversal of 21103303200 is 230330112.

It is a super-2 number, since 2×211033032002 (a number of 21 digits) contains 22 as substring.

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 21103303200.

It is not an unprimeable number, because it can be changed into a prime (21103303201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 611275 + ... + 644874.

It is an arithmetic number, because the mean of its divisors is an integer number (545169100).

Almost surely, 221103303200 is an apocalyptic number.

21103303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21103303200 is an abundant number, since it is smaller than the sum of its proper divisors (57401047200).

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

21103303200 is a wasteful number, since it uses less digits than its factorization.

21103303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256179 (or 1256166 counting only the distinct ones).

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

Adding to 21103303200 its reverse (230330112), we get a palindrome (21333633312).

The spelling of 21103303200 in words is "twenty-one billion, one hundred three million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 1256149 2512298 3768447 5024596 6280745 7536894 8793043 10049192 12561490 15073788 17586086 18842235 20098384 25122980 26379129 30147576 31403725 35172172 37684470 40196768 43965215 50245960 52758258 60295152 62807450 70344344 75368940 87930430 94211175 100491920 105516516 120590304 125614900 131895645 140688688 150737880 175860860 188422350 200983840 211033032 219826075 251229800 263791290 281377376 301475760 351721720 376844700 422066064 439652150 502459600 527582580 602951520 659478225 703443440 753689400 844132128 879304300 1004919200 1055165160 1318956450 1406886880 1507378800 1758608600 2110330320 2637912900 3014757600 3517217200 4220660640 5275825800 7034434400 10551651600 21103303200