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21213303301200 = 24352122279144569
BaseRepresentation
bin1001101001011000110110…
…11010000110010001010000
32210002222020120200100010110
410310230123122012101100
510240024321121114300
6113041131302401320
74316416300641423
oct464543332062120
983088216610113
1021213303301200
11683956975822a
122467344430240
13bab537a559aa
14534a2d5039ba
1526bc17935550
hex134b1b686450

21213303301200 has 120 divisors (see below), whose sum is σ = 67954307342400. Its totient is φ = 5656795489280.

The previous prime is 21213303301129. The next prime is 21213303301217. The reversal of 21213303301200 is 210330331212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 146662516 + ... + 146807084.

It is an arithmetic number, because the mean of its divisors is an integer number (566285894520).

Almost surely, 221213303301200 is an apocalyptic number.

21213303301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213303301200 is an abundant number, since it is smaller than the sum of its proper divisors (46741004041200).

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

21213303301200 is a wasteful number, since it uses less digits than its factorization.

21213303301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266869 (or 266858 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21213303301200 its reverse (210330331212), we get a palindrome (21423633632412).

The spelling of 21213303301200 in words is "twenty-one trillion, two hundred thirteen billion, three hundred three million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 122279 144569 244558 289138 366837 433707 489116 578276 611395 722845 733674 867414 978232 1156552 1222790 1445690 1467348 1734828 1834185 1956464 2168535 2313104 2445580 2891380 2934696 3056975 3469656 3614225 3668370 4337070 4891160 5782760 5869392 6113950 6939312 7228450 7336740 8674140 9170925 9782320 10842675 11565520 12227900 14456900 14673480 17348280 18341850 21685350 24455800 28913800 29346960 34696560 36683700 43370700 48911600 57827600 73367400 86741400 146734800 173482800 17677752751 35355505502 53033258253 70711011004 88388763755 106066516506 141422022008 176777527510 212133033012 265166291265 282844044016 353555055020 424266066024 441943818775 530332582530 707110110040 848532132048 883887637550 1060665165060 1325831456325 1414220220080 1767775275100 2121330330120 2651662912650 3535550550200 4242660660240 5303325825300 7071101100400 10606651650600 21213303301200