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113131110301 = 11297315132173
BaseRepresentation
bin110100101011100100…
…0111011111110011101
3101211000022010212020021
41221113020323332131
53323143031012201
6123545520152141
711113331366626
oct1512710737635
9354008125207
10113131110301
1143a84620680
1219b13468651
13a88c0c83b1
145692d98a4d
152e21e38ea1
hex1a5723bf9d

113131110301 has 32 divisors (see below), whose sum is σ = 130281534720. Its totient is φ = 97288128000.

The previous prime is 113131110289. The next prime is 113131110307. The reversal of 113131110301 is 103011131311.

It is a cyclic number.

It is not a de Polignac number, because 113131110301 - 27 = 113131110173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113131110307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3500251 + ... + 3532423.

It is an arithmetic number, because the mean of its divisors is an integer number (4071297960).

Almost surely, 2113131110301 is an apocalyptic number.

113131110301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113131110301 is a deficient number, since it is larger than the sum of its proper divisors (17150424419).

113131110301 is a wasteful number, since it uses less digits than its factorization.

113131110301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32437.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 113131110301 its reverse (103011131311), we get a palindrome (216142241612).

The spelling of 113131110301 in words is "one hundred thirteen billion, one hundred thirty-one million, one hundred ten thousand, three hundred one".

Divisors: 1 11 29 73 151 319 803 1661 2117 4379 11023 23287 32173 48169 121253 319667 353903 933017 2348629 3516337 4858123 10263187 25834919 53439353 68110241 140885567 354642979 749212651 1549741237 3901072769 10284646391 113131110301