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13201032001200 = 2435211000860001
BaseRepresentation
bin1100000000011001101011…
…0100101011011010110000
31201202000011121200022021120
43000012122310223122300
53212241203143014300
644024245334022240
72531512610411301
oct300063264533260
951660147608246
1013201032001200
11422a58746174a
121592546aa7980
13749b0ca3a594
14338d0d1c47a8
1517d5c850e3a0
hexc019ad2b6b0

13201032001200 has 60 divisors (see below), whose sum is σ = 42287305847688. Its totient is φ = 3520275200000.

The previous prime is 13201032001153. The next prime is 13201032001207. The reversal of 13201032001200 is 210023010231.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13201032001200.

It is not an unprimeable number, because it can be changed into a prime (13201032001207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5500428801 + ... + 5500431200.

Almost surely, 213201032001200 is an apocalyptic number.

13201032001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201032001200 is an abundant number, since it is smaller than the sum of its proper divisors (29086273846488).

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

13201032001200 is a wasteful number, since it uses less digits than its factorization.

13201032001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000860022 (or 11000860011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13201032001200 its reverse (210023010231), we get a palindrome (13411055011431).

The spelling of 13201032001200 in words is "thirteen trillion, two hundred one billion, thirty-two million, 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 11000860001 22001720002 33002580003 44003440004 55004300005 66005160006 88006880008 110008600010 132010320012 165012900015 176013760016 220017200020 264020640024 275021500025 330025800030 440034400040 528041280048 550043000050 660051600060 825064500075 880068800080 1100086000100 1320103200120 1650129000150 2200172000200 2640206400240 3300258000300 4400344000400 6600516000600 13201032001200