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331594141495133 = 11210127133143073
BaseRepresentation
bin100101101100101010100011…
…1000000110110111101011101
31121111002002102212002221110202
41023121111013000312331131
5321430314300210321013
63133124125020113245
7126562612642253246
oct11331250700667535
91544062385087422
10331594141495133
1196724316261600
12312351bb095825
1311304268ab306a
145bc53563b3ccd
1528507d0733858
hex12d9547036f5d

331594141495133 has 12 divisors (see below), whose sum is σ = 368088218941884. Its totient is φ = 298464573792000.

The previous prime is 331594141495093. The next prime is 331594141495147.

331594141495133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 315893107717924 + 15701033777209 = 17773382^2 + 3962453^2 .

It is not a de Polignac number, because 331594141495133 - 226 = 331594074386269 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 (331594141495163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13566559316 + ... + 13566583757.

It is an arithmetic number, because the mean of its divisors is an integer number (30674018245157).

Almost surely, 2331594141495133 is an apocalyptic number.

It is an amenable number.

331594141495133 is a deficient number, since it is larger than the sum of its proper divisors (36494077446751).

331594141495133 is a wasteful number, since it uses less digits than its factorization.

331594141495133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133143196 (or 27133143185 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 56.

The spelling of 331594141495133 in words is "three hundred thirty-one trillion, five hundred ninety-four billion, one hundred forty-one million, four hundred ninety-five thousand, one hundred thirty-three".

Divisors: 1 11 101 121 1111 12221 27133143073 298464573803 2740447450373 3283110311833 30144921954103 331594141495133