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20130144101199 = 3311186736303301
BaseRepresentation
bin1001001001110111010100…
…00101101010001101001111
32122021102102100112211222000
410210323222011222031033
510114303013342214244
6110451354401523343
74145232510440226
oct444735205521517
978242370484860
1020130144101199
11646116760a570
122311434643553
13b30358ca0542
144d8438917cbd
1524d9706b1169
hex124eea16a34f

20130144101199 has 32 divisors (see below), whose sum is σ = 32550992705280. Its totient is φ = 12193552404000.

The previous prime is 20130144101191. The next prime is 20130144101213. The reversal of 20130144101199 is 99110144103102.

20130144101199 is a `hidden beast` number, since 2 + 0 + 130 + 14 + 410 + 11 + 99 = 666.

It is not a de Polignac number, because 20130144101199 - 23 = 20130144101191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130144101191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17597152 + ... + 18706149.

It is an arithmetic number, because the mean of its divisors is an integer number (1017218522040).

Almost surely, 220130144101199 is an apocalyptic number.

20130144101199 is a deficient number, since it is larger than the sum of its proper divisors (12420848604081).

20130144101199 is a wasteful number, since it uses less digits than its factorization.

20130144101199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36305188 (or 36305182 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 20130144101199 in words is "twenty trillion, one hundred thirty billion, one hundred forty-four million, one hundred one thousand, one hundred ninety-nine".

Divisors: 1 3 9 11 27 33 99 297 1867 5601 16803 20537 50409 61611 184833 554499 36303301 108909903 326729709 399336311 980189127 1198008933 3594026799 10782080397 67778262967 203334788901 610004366703 745560892637 1830013100109 2236682677911 6710048033733 20130144101199