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114113243410111 = 11234173641235099
BaseRepresentation
bin11001111100100100001111…
…010101100110111010111111
3112222001010020010200202122201
4121330210033111212322333
5104424112410303110421
61042410522245052331
733015260356603411
oct3174441725467277
9488033203622581
10114113243410111
11333a6177a849a0
121096bab23b70a7
134b89aa952436a
14202717910c9b1
15d2d5323dab91
hex67c90f566ebf

114113243410111 has 64 divisors (see below), whose sum is σ = 135101806156800. Its totient is φ = 95333179392000.

The previous prime is 114113243410031. The next prime is 114113243410129. The reversal of 114113243410111 is 111014342311411.

It is not a de Polignac number, because 114113243410111 - 241 = 111914220154559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114113243410111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114113243470111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 485266240 + ... + 485501338.

It is an arithmetic number, because the mean of its divisors is an integer number (2110965721200).

Almost surely, 2114113243410111 is an apocalyptic number.

114113243410111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114113243410111 is a deficient number, since it is larger than the sum of its proper divisors (20988562746689).

114113243410111 is a wasteful number, since it uses less digits than its factorization.

114113243410111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235888.

The product of its (nonzero) digits is 1152, while the sum is 28.

Adding to 114113243410111 its reverse (111014342311411), we get a palindrome (225127585721522).

The spelling of 114113243410111 in words is "one hundred fourteen trillion, one hundred thirteen billion, two hundred forty-three million, four hundred ten thousand, one hundred eleven".

Divisors: 1 11 23 41 73 253 451 641 803 943 1679 2993 7051 10373 14743 18469 26281 32923 46793 68839 162173 235099 289091 514723 604463 757229 1076239 1918513 2586089 5407277 6649093 9639059 11838629 17162227 21103643 44125799 59480047 106029649 150698459 188784497 221698357 394731221 485383789 703651307 1657683049 2438681927 3466064557 4342043431 6178636819 7740164377 11000987507 16183980061 38126710127 67965005009 121010862577 142108646837 178023780671 253022712661 451040487787 1563195115207 2783249839271 4961445365657 10373931219101 114113243410111