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210201120001200 = 24352296040262069
BaseRepresentation
bin101111110010110101000011…
…000101101100110010110000
31000120021000211110121221201010
4233302311003011230302300
5210022413343210014300
62023021021134110520
762163346464534546
oct5762650305546260
91016230743557633
10210201120001200
1160a81881343a99
121b6aa47594b440
139039b5a79b073
1439c9b0789bd96
151947c3093da50
hexbf2d4316ccb0

210201120001200 has 120 divisors (see below), whose sum is σ = 696563021912400. Its totient is φ = 54120748129280.

The previous prime is 210201120001183. The next prime is 210201120001219. The reversal of 210201120001200 is 2100021102012.

210201120001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020096235 + ... + 3020165834.

It is an arithmetic number, because the mean of its divisors is an integer number (5804691849270).

Almost surely, 2210201120001200 is an apocalyptic number.

210201120001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201120001200 is an abundant number, since it is smaller than the sum of its proper divisors (486361901911200).

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

210201120001200 is a wasteful number, since it uses less digits than its factorization.

210201120001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040262119 (or 6040262108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210201120001200 its reverse (2100021102012), we get a palindrome (212301141103212).

The spelling of 210201120001200 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 6040262069 12080524138 18120786207 24161048276 30201310345 36241572414 48322096552 60402620690 72483144828 90603931035 96644193104 120805241380 144966289656 151006551725 175167600001 181207862070 241610482760 289932579312 302013103450 350335200002 362415724140 453019655175 483220965520 525502800003 604026206900 700670400004 724831448280 875838000005 906039310350 1051005600006 1208052413800 1401340800008 1449662896560 1751676000010 1812078620700 2102011200012 2416104827600 2627514000015 2802681600016 3503352000020 3624157241400 4204022400024 4379190000025 5255028000030 7006704000040 7248314482800 8408044800048 8758380000050 10510056000060 13137570000075 14013408000080 17516760000100 21020112000120 26275140000150 35033520000200 42040224000240 52550280000300 70067040000400 105100560000600 210201120001200