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11131413143331 = 3131949930104509
BaseRepresentation
bin1010000111111011101111…
…1011010001111100100011
31110102011010022200001011010
42201332323323101330203
52424334113231041311
635401411155152003
72226134536364145
oct241767373217443
943364108601133
1011131413143331
113601895584598
1212b94138a5603
136298c2cc9870
142a6a985b4c95
1514484860bda6
hexa1fbbed1f23

11131413143331 has 32 divisors (see below), whose sum is σ = 16858525600000. Its totient is φ = 6476563433088.

The previous prime is 11131413143317. The next prime is 11131413143353. The reversal of 11131413143331 is 13334131413111.

It is not a de Polignac number, because 11131413143331 - 27 = 11131413143203 is a prime.

It is a super-3 number, since 3×111314131433313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11131413143371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14682496 + ... + 15422013.

It is an arithmetic number, because the mean of its divisors is an integer number (526828925000).

Almost surely, 211131413143331 is an apocalyptic number.

11131413143331 is a deficient number, since it is larger than the sum of its proper divisors (5727112456669).

11131413143331 is a wasteful number, since it uses less digits than its factorization.

11131413143331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30105043.

The product of its digits is 3888, while the sum is 30.

Adding to 11131413143331 its reverse (13334131413111), we get a palindrome (24465544556442).

The spelling of 11131413143331 in words is "eleven trillion, one hundred thirty-one billion, four hundred thirteen million, one hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 499 741 1497 6487 9481 19461 28443 123253 369759 30104509 90313527 391358617 571985671 1174075851 1715957013 7435813723 15022149991 22307441169 45066449973 195287949883 285420849829 585863849649 856262549487 3710471047777 11131413143331