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131220112113 = 324710324112497
BaseRepresentation
bin111101000110101010…
…1000000001011110001
3110112200221210100210100
41322031111000023301
54122214322041423
6140140502223013
712323520356346
oct1721525001361
9415627710710
10131220112113
1150717372452
1221521424a69
13c4b28bb46c
1464cb5527cd
153630023343
hex1e8d5402f1

131220112113 has 48 divisors (see below), whose sum is σ = 196278990336. Its totient is φ = 84428974080.

The previous prime is 131220112097. The next prime is 131220112183. The reversal of 131220112113 is 311211022131.

It is not a de Polignac number, because 131220112113 - 24 = 131220112097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131220112183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10493881 + ... + 10506377.

It is an arithmetic number, because the mean of its divisors is an integer number (4089145632).

Almost surely, 2131220112113 is an apocalyptic number.

It is an amenable number.

131220112113 is a deficient number, since it is larger than the sum of its proper divisors (65058878223).

131220112113 is a wasteful number, since it uses less digits than its factorization.

131220112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12894 (or 12891 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131220112113 its reverse (311211022131), we get a palindrome (442431134244).

The spelling of 131220112113 in words is "one hundred thirty-one billion, two hundred twenty million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 47 103 141 241 309 423 723 927 2169 4841 11327 12497 14523 24823 33981 37491 43569 74469 101943 112473 223407 587359 1166681 1287191 1762077 3011777 3500043 3861573 5286231 9035331 10500129 11584719 27105993 60497977 141553519 181493931 310213031 424660557 544481793 930639093 1273981671 2791917279 14580012457 43740037371 131220112113