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21320103300 = 22352195370573
BaseRepresentation
bin10011110110110001…
…101111010110000100
32001000211112110112120
4103312301233112010
5322130421301200
613443323445540
71353221613366
oct236661572604
961024473476
1021320103300
119050708191
1241700868b0
13201a031052
14106375ad36
1584bacc9a0
hex4f6c6f584

21320103300 has 144 divisors (see below), whose sum is σ = 66158890560. Its totient is φ = 5284431360.

The previous prime is 21320103289. The next prime is 21320103313. The reversal of 21320103300 is 330102312.

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 21320103300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266814 + ... + 337386.

It is an arithmetic number, because the mean of its divisors is an integer number (459436740).

Almost surely, 221320103300 is an apocalyptic number.

21320103300 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 21320103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33079445280).

21320103300 is an abundant number, since it is smaller than the sum of its proper divisors (44838787260).

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

21320103300 is a wasteful number, since it uses less digits than its factorization.

21320103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70662 (or 70655 counting only the distinct ones).

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

Adding to 21320103300 its reverse (330102312), we get a palindrome (21650205612).

The spelling of 21320103300 in words is "twenty-one billion, three hundred twenty million, one hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 53 57 60 75 76 95 100 106 114 150 159 190 212 228 265 285 300 318 380 475 530 570 636 795 950 1007 1060 1140 1325 1425 1590 1900 2014 2650 2850 3021 3180 3975 4028 5035 5300 5700 6042 7950 10070 12084 15105 15900 20140 25175 30210 50350 60420 70573 75525 100700 141146 151050 211719 282292 302100 352865 423438 705730 846876 1058595 1340887 1411460 1764325 2117190 2681774 3528650 3740369 4022661 4234380 5292975 5363548 6704435 7057300 7480738 8045322 10585950 11221107 13408870 14961476 16090644 18701845 20113305 21171900 22442214 26817740 33522175 37403690 40226610 44884428 56105535 67044350 71067011 74807380 80453220 93509225 100566525 112211070 134088700 142134022 187018450 201133050 213201033 224422140 280527675 284268044 355335055 374036900 402266100 426402066 561055350 710670110 852804132 1066005165 1122110700 1421340220 1776675275 2132010330 3553350550 4264020660 5330025825 7106701100 10660051650 21320103300