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21332012020200 = 23325271693016827
BaseRepresentation
bin1001101100110101111101…
…11111111011000111101000
32210112022122121002002002200
410312122332333323013220
510244000430034121300
6113211442510300200
74331121100256250
oct466327677730750
983468577062080
1021332012020200
11688494572a872
1224863537b7660
13bb97a556885b
1453a691158960
1526ed6436e200
hex1366beffb1e8

21332012020200 has 144 divisors (see below), whose sum is σ = 81874293802080. Its totient is φ = 4875888458880.

The previous prime is 21332012020153. The next prime is 21332012020219. The reversal of 21332012020200 is 202021023312.

21332012020200 is a `hidden beast` number, since 2 + 1 + 3 + 320 + 120 + 20 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 846495814 + ... + 846521013.

Almost surely, 221332012020200 is an apocalyptic number.

21332012020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21332012020200 is an abundant number, since it is smaller than the sum of its proper divisors (60542281781880).

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

21332012020200 is a wasteful number, since it uses less digits than its factorization.

21332012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693016856 (or 1693016844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21332012020200 its reverse (202021023312), we get a palindrome (21534033043512).

The spelling of 21332012020200 in words is "twenty-one trillion, three hundred thirty-two billion, twelve million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2520 3150 4200 6300 12600 1693016827 3386033654 5079050481 6772067308 8465084135 10158100962 11851117789 13544134616 15237151443 16930168270 20316201924 23702235578 25395252405 30474302886 33860336540 35553353367 40632403848 42325420675 47404471156 50790504810 59255588945 60948605772 67720673080 71106706734 76185757215 84650841350 94808942312 101581009620 106660060101 118511177890 121897211544 126976262025 142213413468 152371514430 169301682700 177766766835 203162019240 213320120202 237022355780 253952524050 284426826936 296277944725 304743028860 338603365400 355533533670 380928786075 426640240404 474044711560 507905048100 533300300505 592555889450 609486057720 711067067340 761857572150 853280480808 888833834175 1015810096200 1066600601010 1185111778900 1422134134680 1523715144300 1777667668350 2133201202020 2370223557800 2666501502525 3047430288600 3555335336700 4266402404040 5333003005050 7110670673400 10666006010100 21332012020200