Search a number
-
+
131301112301 = 677212991097
BaseRepresentation
bin111101001001000100…
…1111111100111101101
3110112220121012121011022
41322102021333213231
54122401041043201
6140152514303525
712325523016452
oct1722211774755
9415817177138
10131301112301
1150759067057
1221544587ba5
13c4c660bb78
1464d81d9829
1536371c341b
hex1e9227f9ed

131301112301 has 8 divisors (see below), whose sum is σ = 131558265720. Its totient is φ = 131044146688.

The previous prime is 131301112181. The next prime is 131301112357. The reversal of 131301112301 is 103211103131.

It can be written as a sum of positive squares in 4 ways, for example, as 69374292100 + 61926820201 = 263390^2 + 248851^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131301112301 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131301112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301112361) 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 7 ways as a sum of consecutive naturals, for example, 1395785 + ... + 1486881.

It is an arithmetic number, because the mean of its divisors is an integer number (16444783215).

Almost surely, 2131301112301 is an apocalyptic number.

It is an amenable number.

131301112301 is a deficient number, since it is larger than the sum of its proper divisors (257153419).

131301112301 is an equidigital number, since it uses as much as digits as its factorization.

131301112301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93903.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131301112301 its reverse (103211103131), we get a palindrome (234512215432).

The spelling of 131301112301 in words is "one hundred thirty-one billion, three hundred one million, one hundred twelve thousand, three hundred one".

Divisors: 1 677 2129 91097 1441333 61672669 193945513 131301112301