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131115314424105 = 32511456675800237
BaseRepresentation
bin11101110011111110101001…
…101111011010100100101001
3122012020111112200212101222100
4131303332221233122210221
5114141143130443032410
61142505313252444013
736421524501662004
oct3563765157324451
9565214480771870
10131115314424105
1138860768906770
1212857039619609
13582117608776b
14245402d53653b
15102592476b8c0
hex773fa9bda929

131115314424105 has 48 divisors (see below), whose sum is σ = 247932611769024. Its totient is φ = 63569658522240.

The previous prime is 131115314424091. The next prime is 131115314424151. The reversal of 131115314424105 is 501424413511131.

131115314424105 is a `hidden beast` number, since 1 + 3 + 1 + 11 + 531 + 4 + 4 + 2 + 4 + 105 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131115314424105 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131115314424105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19705047 + ... + 25505283.

It is an arithmetic number, because the mean of its divisors is an integer number (5165262745188).

Almost surely, 2131115314424105 is an apocalyptic number.

131115314424105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131115314424105 is a deficient number, since it is larger than the sum of its proper divisors (116817297344919).

131115314424105 is a wasteful number, since it uses less digits than its factorization.

131115314424105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845926 (or 5845923 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 131115314424105 its reverse (501424413511131), we get a palindrome (632539727935236).

The spelling of 131115314424105 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred fourteen million, four hundred twenty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 45667 137001 228335 411003 502337 685005 1507011 2055015 2511685 4521033 5800237 7535055 17400711 22605165 29001185 52202133 63802607 87003555 191407821 261010665 319013035 574223463 957039105 2871117315 264879423079 794638269237 1324397115395 2383914807711 2913673653869 3973191346185 8741020961607 11919574038555 14568368269345 26223062884821 43705104808035 131115314424105