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21201301200 = 2435280921839
BaseRepresentation
bin10011101111101100…
…100010111011010000
32000201112222200200210
4103233230202323100
5321410013114300
613423441244120
71350250041522
oct235754427320
960645880623
1021201301200
118a9a644432
124138333640
131ccb536451
141051a73a12
15841462050
hex4efb22ed0

21201301200 has 120 divisors (see below), whose sum is σ = 68001897600. Its totient is φ = 5646433280.

The previous prime is 21201301189. The next prime is 21201301229. The reversal of 21201301200 is 210310212.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 959881 + ... + 981719.

It is an arithmetic number, because the mean of its divisors is an integer number (566682480).

Almost surely, 221201301200 is an apocalyptic number.

21201301200 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 21201301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34000948800).

21201301200 is an abundant number, since it is smaller than the sum of its proper divisors (46800596400).

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

21201301200 is a wasteful number, since it uses less digits than its factorization.

21201301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22669 (or 22658 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21201301200 its reverse (210310212), we get a palindrome (21411611412).

The spelling of 21201301200 in words is "twenty-one billion, two hundred one 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 80 100 120 150 200 240 300 400 600 809 1200 1618 2427 3236 4045 4854 6472 8090 9708 12135 12944 16180 19416 20225 21839 24270 32360 38832 40450 43678 48540 60675 64720 65517 80900 87356 97080 109195 121350 131034 161800 174712 194160 218390 242700 262068 323600 327585 349424 436780 485400 524136 545975 655170 873560 970800 1048272 1091950 1310340 1637925 1747120 2183900 2620680 3275850 4367800 5241360 6551700 8735600 13103400 17667751 26206800 35335502 53003253 70671004 88338755 106006506 141342008 176677510 212013012 265016265 282684016 353355020 424026024 441693775 530032530 706710040 848052048 883387550 1060065060 1325081325 1413420080 1766775100 2120130120 2650162650 3533550200 4240260240 5300325300 7067100400 10600650600 21201301200