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131155013434311 = 32532717611333253
BaseRepresentation
bin11101110100100011100111…
…111111000111101111000111
3122012101022000101120002002200
4131310203213333013233013
5114142320431414344221
61142535440440205543
736424431333001356
oct3564434777075707
9565338011502080
10131155013434311
113887658a974709
12128628787698b3
135824b31983849
142455d17b5399d
151026999aeb426
hex7748e7fc7bc7

131155013434311 has 48 divisors (see below), whose sum is σ = 193987561053312. Its totient is φ = 85357992844800.

The previous prime is 131155013434273. The next prime is 131155013434339. The reversal of 131155013434311 is 113434310551131.

131155013434311 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 550 + 13 + 43 + 43 + 11 = 666.

It is not a de Polignac number, because 131155013434311 - 27 = 131155013434183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131155013434351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97705561 + ... + 99038813.

It is an arithmetic number, because the mean of its divisors is an integer number (4041407521944).

Almost surely, 2131155013434311 is an apocalyptic number.

131155013434311 is a deficient number, since it is larger than the sum of its proper divisors (62832547619001).

131155013434311 is a wasteful number, since it uses less digits than its factorization.

131155013434311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334344 (or 1334341 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 131155013434311 its reverse (113434310551131), we get a palindrome (244589323985442).

The spelling of 131155013434311 in words is "one hundred thirty-one trillion, one hundred fifty-five billion, thirteen million, four hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 9 53 159 271 477 761 813 2283 2439 6849 14363 40333 43089 120999 129267 206231 362997 618693 1333253 1856079 3999759 10930243 11999277 32790729 70662409 98372187 211987227 361311563 635961681 1014605533 1083934689 3043816599 3251804067 9131449797 19149512839 53774093249 57448538517 161322279747 172345615551 274958099443 483966839241 824874298329 2474622894987 14572779270479 43718337811437 131155013434311