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21200111100 = 22335271121699
BaseRepresentation
bin10011101111101000…
…000000010111111100
32000201110202020012000
4103233220000113330
5321404212023400
613423355542300
71350233654040
oct235750002774
960643666160
1021200111100
118a99a01283
124137a5a990
131ccb20a84c
141051844020
158412c9600
hex4efa005fc

21200111100 has 144 divisors (see below), whose sum is σ = 77890848000. Its totient is φ = 4845735360.

The previous prime is 21200111089. The next prime is 21200111131. The reversal of 21200111100 is 111100212.

It is a happy number.

It is a super-3 number, since 3×212001111003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 541950 + ... + 579749.

Almost surely, 221200111100 is an apocalyptic number.

21200111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200111100 is an abundant number, since it is smaller than the sum of its proper divisors (56690736900).

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

21200111100 is a wasteful number, since it uses less digits than its factorization.

21200111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121729 (or 1121716 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21200111100 its reverse (111100212), we get a palindrome (21311211312).

The spelling of 21200111100 in words is "twenty-one billion, two hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 9450 18900 1121699 2243398 3365097 4486796 5608495 6730194 7851893 10095291 11216990 13460388 15703786 16825485 20190582 22433980 23555679 28042475 30285873 31407572 33650970 39259465 40381164 47111358 50476455 56084950 60571746 67301940 70667037 78518930 84127425 94222716 100952910 112169900 117778395 121143492 141334074 151429365 157037860 168254850 196297325 201905820 212001111 235556790 252382275 282668148 302858730 336509700 353335185 392594650 424002222 471113580 504764550 588891975 605717460 706670370 757146825 785189300 848004444 1009529100 1060005555 1177783950 1413340740 1514293650 1766675925 2120011110 2355567900 3028587300 3533351850 4240022220 5300027775 7066703700 10600055550 21200111100