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131003320201200 = 24325236389811167
BaseRepresentation
bin11101110010010110010110…
…010111010110111111110000
3122011211210110121222102001200
4131302112112113112333300
5114132324244432414300
61142342032223531200
736410451253540416
oct3562262627267760
9564753417872050
10131003320201200
1138818218005457
12128393a2a59b00
135813738686c05
14244c84755d2b6
151022a6c553200
hex7725965d6ff0

131003320201200 has 90 divisors (see below), whose sum is σ = 454617910921824. Its totient is φ = 34934218719360.

The previous prime is 131003320201163. The next prime is 131003320201219. The reversal of 131003320201200 is 2102023300131.

131003320201200 is a `hidden beast` number, since 1 + 310 + 0 + 3 + 320 + 20 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×1310033202012003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18194901984 + ... + 18194909183.

Almost surely, 2131003320201200 is an apocalyptic number.

131003320201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131003320201200 is an abundant number, since it is smaller than the sum of its proper divisors (323614590720624).

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

131003320201200 is a wasteful number, since it uses less digits than its factorization.

131003320201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36389811191 (or 36389811177 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131003320201200 its reverse (2102023300131), we get a palindrome (133105343501331).

The spelling of 131003320201200 in words is "one hundred thirty-one trillion, three billion, three hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 36389811167 72779622334 109169433501 145559244668 181949055835 218338867002 291118489336 327508300503 363898111670 436677734004 545847167505 582236978672 655016601006 727796223340 873355468008 909745279175 1091694335010 1310033202012 1455592446680 1637541502515 1746710936016 1819490558350 2183388670020 2620066404024 2729235837525 2911184893360 3275083005030 3638981116700 4366777340040 5240132808048 5458471675050 6550166010060 7277962233400 8187707512575 8733554680080 10916943350100 13100332020120 14555924466800 16375415025150 21833886700200 26200664040240 32750830050300 43667773400400 65501660100600 131003320201200