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21022120303300 = 22521673076136689
BaseRepresentation
bin1001100011110100110000…
…00000110101101011000100
32202102200202201010202201101
410301322120000311223010
510223411300244201200
6112413232335305444
74266540511163044
oct461723000655304
982380681122641
1021022120303300
116775481958226
12243628967b284
13b964ba30352c
145296943dd724
15266c7859126a
hex131e98035ac4

21022120303300 has 144 divisors (see below), whose sum is σ = 46122646711680. Its totient is φ = 8316434903040.

The previous prime is 21022120303259. The next prime is 21022120303339. The reversal of 21022120303300 is 330302122012.

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, 3142786356 + ... + 3142793044.

It is an arithmetic number, because the mean of its divisors is an integer number (320296157720).

Almost surely, 221022120303300 is an apocalyptic number.

21022120303300 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 21022120303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061323355840).

21022120303300 is an abundant number, since it is smaller than the sum of its proper divisors (25100526408380).

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

21022120303300 is a wasteful number, since it uses less digits than its factorization.

21022120303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21022120303300 its reverse (330302122012), we get a palindrome (21352422425312).

The spelling of 21022120303300 in words is "twenty-one trillion, twenty-two billion, one hundred twenty million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 307 334 613 614 668 835 1226 1228 1535 1670 2452 3065 3070 3340 4175 6130 6140 6689 7675 8350 12260 13378 15325 15350 16700 26756 30650 30700 33445 51269 61300 66890 102371 102538 133780 167225 188191 204742 205076 256345 334450 376382 409484 511855 512690 668900 752764 940955 1023710 1025380 1117063 1281725 1881910 2047420 2053523 2234126 2559275 2563450 3763820 4100357 4107046 4468252 4704775 5118550 5126900 5585315 8200714 8214092 9409550 10237100 10267615 11170630 16401428 18819100 20501785 20535230 22341260 27926575 31427897 41003570 41070460 51338075 55853150 62855794 82007140 102508925 102676150 111706300 125711588 157139485 205017850 205352300 314278970 342938341 410035700 628557940 684759619 685876682 785697425 1258809599 1369519238 1371753364 1571394850 1714691705 2517619198 2739038476 3142789700 3423798095 3429383410 5035238396 6294047995 6847596190 6858766820 8573458525 12588095990 13695192380 17118990475 17146917050 25176191980 31470239975 34237980950 34293834100 62940479950 68475961900 125880959900 210221203033 420442406066 840884812132 1051106015165 2102212030330 4204424060660 5255530075825 10511060151650 21022120303300