Search a number
-
+
131404313302245 = 3258031736357133
BaseRepresentation
bin11101111000001011110011…
…011010101001010011100101
3122020021010111112020112120200
4131320023303122221103211
5114210412013201132440
61143250150321421113
736451435244626644
oct3570136332512345
9566233445215520
10131404313302245
1138962290179315
12128a305279a799
1358424b19881b9
14246400759535b
15102d1db218c30
hex7782f36a94e5

131404313302245 has 24 divisors (see below), whose sum is σ = 227770318511736. Its totient is φ = 70081425929088.

The previous prime is 131404313302181. The next prime is 131404313302261. The reversal of 131404313302245 is 542203313404131.

131404313302245 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 43 + 1 + 330 + 2 + 245 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2354008981284 + 129050304320961 = 1534278^2 + 11360031^2 .

It is not a de Polignac number, because 131404313302245 - 26 = 131404313302181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14564302 + ... + 21792831.

It is an arithmetic number, because the mean of its divisors is an integer number (9490429937989).

Almost surely, 2131404313302245 is an apocalyptic number.

131404313302245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131404313302245 is a deficient number, since it is larger than the sum of its proper divisors (96366005209491).

131404313302245 is a wasteful number, since it uses less digits than its factorization.

131404313302245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36437461 (or 36437458 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131404313302245 its reverse (542203313404131), we get a palindrome (673607626706376).

The spelling of 131404313302245 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred thirteen million, three hundred two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 80317 240951 401585 722853 1204755 3614265 36357133 109071399 181785665 327214197 545356995 1636070985 2920095851161 8760287553483 14600479255805 26280862660449 43801437767415 131404313302245