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131301023231 = 7310131312109
BaseRepresentation
bin111101001001000100…
…1101001110111111111
3110112220121001001222102
41322102021221313333
54122401030220411
6140152512335315
712325522166000
oct1722211516777
9415817031872
10131301023231
1150759006144
122154454453b
13c4c65aa471
1464d81b51a7
1536371a6d3b
hex1e92269dff

131301023231 has 32 divisors (see below), whose sum is σ = 155143632000. Its totient is φ = 111064262400.

The previous prime is 131301023219. The next prime is 131301023299. The reversal of 131301023231 is 132320103131.

It is not a de Polignac number, because 131301023231 - 26 = 131301023167 is a prime.

It is a super-2 number, since 2×1313010232312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301023431) 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, 10837205 + ... + 10849313.

It is an arithmetic number, because the mean of its divisors is an integer number (4848238500).

Almost surely, 2131301023231 is an apocalyptic number.

131301023231 is a deficient number, since it is larger than the sum of its proper divisors (23842608769).

131301023231 is a wasteful number, since it uses less digits than its factorization.

131301023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12544 (or 12530 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131301023231 its reverse (132320103131), we get a palindrome (263621126362).

The spelling of 131301023231 in words is "one hundred thirty-one billion, three hundred one million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 7 49 101 313 343 707 2191 4949 12109 15337 31613 34643 84763 107359 221291 593341 1223009 1549037 3790117 4153387 8561063 10843259 26530819 59927441 185715733 382801817 419492087 1300010131 2679612719 18757289033 131301023231