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131331311230311 = 3261673570435017
BaseRepresentation
bin11101110111000111110100…
…001001110101110101100111
3122020000011001212222001012200
4131313013310021311311213
5114203213011133332221
61143152434345545543
736443242215354663
oct3567076411656547
9566004055861180
10131331311230311
1138934329431165
1212890a7a4a52b3
1358386495b222a
14246067dd978a3
15102b3672a5426
hex7771f4275d67

131331311230311 has 24 divisors (see below), whose sum is σ = 195688402466544. Its totient is φ = 84833535980160.

The previous prime is 131331311230309. The next prime is 131331311230321. The reversal of 131331311230311 is 113032113133131.

131331311230311 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 1 + 311 + 2 + 30 + 311 = 666.

It is not a de Polignac number, because 131331311230311 - 21 = 131331311230309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331311230321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785180726 + ... + 1785254291.

It is an arithmetic number, because the mean of its divisors is an integer number (8153683436106).

Almost surely, 2131331311230311 is an apocalyptic number.

131331311230311 is a deficient number, since it is larger than the sum of its proper divisors (64357091236233).

131331311230311 is a wasteful number, since it uses less digits than its factorization.

131331311230311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570435151 (or 3570435148 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 131331311230311 its reverse (113032113133131), we get a palindrome (244363424363442).

The spelling of 131331311230311 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, three hundred eleven million, two hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 61 67 183 201 549 603 4087 12261 36783 3570435017 10711305051 32133915153 217796536037 239219146139 653389608111 717657438417 1960168824333 2152972315251 14592367914479 43777103743437 131331311230311