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131134313503005 = 352321110391733801
BaseRepresentation
bin11101110100010000010110…
…001011001001100100011101
3122012022022120202222121121020
4131310100112023021210131
5114142001033224044010
61142522134424554353
736423066351330411
oct3564202613114435
9565268522877536
10131134313503005
113886882834296a
121285a8603229b9
135822bb3291b97
142454d12910d41
1510261876c3470
hex7744162c991d

131134313503005 has 64 divisors (see below), whose sum is σ = 220186751016960. Its totient is φ = 66516335424000.

The previous prime is 131134313502887. The next prime is 131134313503043. The reversal of 131134313503005 is 500305313431131.

It is not a de Polignac number, because 131134313503005 - 213 = 131134313494813 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74767105 + ... + 76500905.

It is an arithmetic number, because the mean of its divisors is an integer number (3440417984640).

Almost surely, 2131134313503005 is an apocalyptic number.

131134313503005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131134313503005 is a deficient number, since it is larger than the sum of its proper divisors (89052437513955).

131134313503005 is a wasteful number, since it uses less digits than its factorization.

131134313503005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735082.

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 131134313503005 its reverse (500305313431131), we get a palindrome (631439626934136).

The spelling of 131134313503005 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, three hundred thirteen million, five hundred three thousand, five".

Divisors: 1 3 5 15 23 69 115 211 345 633 1039 1055 3117 3165 4853 5195 14559 15585 23897 24265 71691 72795 119485 219229 358455 657687 1096145 1733801 3288435 5042267 5201403 8669005 15126801 25211335 26007015 39877423 75634005 119632269 199387115 365832011 598161345 1097496033 1801419239 1829160055 5404257717 5487480165 8414136253 9007096195 25242408759 27021288585 41432642497 42070681265 124297927491 126212043795 207163212485 380099459429 621489637455 1140298378287 1900497297145 5701491891435 8742287566867 26226862700601 43711437834335 131134313503005