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12031343140141 = 1312131086170249
BaseRepresentation
bin1010111100010100001111…
…1011110001110100101101
31120121011222222201121001201
42233011003323301310231
53034110142320441031
641331042302205501
72351143620215563
oct257050373616455
946534888647051
1012031343140141
113919511600a06
121423908583891
13693721115860
142d846a577a33
1515ce6990bd61
hexaf143ef1d2d

12031343140141 has 16 divisors (see below), whose sum is σ = 12968891278000. Its totient is φ = 11095519864320.

The previous prime is 12031343140129. The next prime is 12031343140151. The reversal of 12031343140141 is 14104134313021.

It can be written as a sum of positive squares in 8 ways, for example, as 6598579312900 + 5432763827241 = 2568770^2 + 2330829^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031343140141 - 211 = 12031343138093 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 (12031343140121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171231985 + ... + 171302233.

It is an arithmetic number, because the mean of its divisors is an integer number (810555704875).

Almost surely, 212031343140141 is an apocalyptic number.

It is an amenable number.

12031343140141 is a deficient number, since it is larger than the sum of its proper divisors (937548137859).

12031343140141 is a wasteful number, since it uses less digits than its factorization.

12031343140141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82336.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 12031343140141 its reverse (14104134313021), we get a palindrome (26135477453162).

The spelling of 12031343140141 in words is "twelve trillion, thirty-one billion, three hundred forty-three million, one hundred forty thousand, one hundred forty-one".

Divisors: 1 13 1213 10861 15769 70249 141193 913237 13174393 85212037 171267109 762974389 1107756481 9918667057 925487933857 12031343140141