Search a number
-
+
12032103300131 = 432271499822329
BaseRepresentation
bin1010111100010111000100…
…1111100011110000100011
31120121020221222002201112102
42233011301033203300203
53034113221421101011
641331245535121015
72351201510401505
oct257056117436043
946536858081472
1012032103300131
113919871700402
121423a9b07316b
13693812759975
142d84dd4d1d75
1515ceb151473b
hexaf1713e3c23

12032103300131 has 16 divisors (see below), whose sum is σ = 12374421840000. Its totient is φ = 11692694989248.

The previous prime is 12032103300053. The next prime is 12032103300143. The reversal of 12032103300131 is 13100330123021.

It is a cyclic number.

It is not a de Polignac number, because 12032103300131 - 210 = 12032103299107 is a prime.

It is a super-2 number, since 2×120321033001312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12032103600131) 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 15 ways as a sum of consecutive naturals, for example, 14220575 + ... + 15042903.

It is an arithmetic number, because the mean of its divisors is an integer number (773401365000).

Almost surely, 212032103300131 is an apocalyptic number.

12032103300131 is a deficient number, since it is larger than the sum of its proper divisors (342318539869).

12032103300131 is a wasteful number, since it uses less digits than its factorization.

12032103300131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824098.

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

Adding to 12032103300131 its reverse (13100330123021), we get a palindrome (25132433423152).

The spelling of 12032103300131 in words is "twelve trillion, thirty-two billion, one hundred three million, three hundred thousand, one hundred thirty-one".

Divisors: 1 43 227 1499 9761 64457 340273 822329 14631739 35360147 186668683 1232671171 8026753369 53004860353 279816355817 12032103300131