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131433100330041 = 3214603677814449
BaseRepresentation
bin11101111000100110100111…
…010000011100010000111001
3122020100212210202010001220100
4131320212213100130100321
5114211344442141030131
61143311311023350013
736453504515421456
oct3570464720342071
9566325722101810
10131433100330041
1138973512756384
12128a8747452309
13584511b966463
14246557889482d
15102dd235e37e6
hex7789a741c439

131433100330041 has 6 divisors (see below), whose sum is σ = 189847811587850. Its totient is φ = 87622066886688.

The previous prime is 131433100330027. The next prime is 131433100330117. The reversal of 131433100330041 is 140033001334131.

131433100330041 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 3 + 310 + 0 + 3 + 300 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69523978314816 + 61909122015225 = 8338104^2 + 7868235^2 .

It is not a de Polignac number, because 131433100330041 - 210 = 131433100329017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131433100329987 and 131433100330014.

It is not an unprimeable number, because it can be changed into a prime (131433100430041) 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 5 ways as a sum of consecutive naturals, for example, 7301838907216 + ... + 7301838907233.

Almost surely, 2131433100330041 is an apocalyptic number.

It is an amenable number.

131433100330041 is a deficient number, since it is larger than the sum of its proper divisors (58414711257809).

131433100330041 is a wasteful number, since it uses less digits than its factorization.

131433100330041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603677814455 (or 14603677814452 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131433100330041 its reverse (140033001334131), we get a palindrome (271466101664172).

The spelling of 131433100330041 in words is "one hundred thirty-one trillion, four hundred thirty-three billion, one hundred million, three hundred thirty thousand, forty-one".

Divisors: 1 3 9 14603677814449 43811033443347 131433100330041