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131301113301 = 3214589012589
BaseRepresentation
bin111101001001000100…
…1111111110111010101
3110112220121012122112100
41322102021333313111
54122401041111201
6140152514312313
712325523022411
oct1722211776725
9415817178470
10131301113301
1150759067886
1221544588699
13c4c660c467
1464d81d9d41
1536371c3886
hex1e9227fdd5

131301113301 has 6 divisors (see below), whose sum is σ = 189657163670. Its totient is φ = 87534075528.

The previous prime is 131301113297. The next prime is 131301113327. The reversal of 131301113301 is 103311103131.

131301113301 is a `hidden beast` number, since 1 + 31 + 301 + 1 + 1 + 330 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85104059076 + 46197054225 = 291726^2 + 214935^2 .

It is not a de Polignac number, because 131301113301 - 22 = 131301113297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301113101) 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, 7294506286 + ... + 7294506303.

Almost surely, 2131301113301 is an apocalyptic number.

It is an amenable number.

131301113301 is a deficient number, since it is larger than the sum of its proper divisors (58356050369).

131301113301 is a wasteful number, since it uses less digits than its factorization.

131301113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14589012595 (or 14589012592 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131301113301 its reverse (103311103131), we get a palindrome (234612216432).

The spelling of 131301113301 in words is "one hundred thirty-one billion, three hundred one million, one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 14589012589 43767037767 131301113301