Search a number
-
+
131140442313 = 335216393113
BaseRepresentation
bin111101000100010010…
…1000101100011001001
3110112111101212201101000
41322020211011203021
54122033423123223
6140124534445213
712321532240026
oct1721045054311
9415441781330
10131140442313
11506863a7341
12214ba803809
13c49c24547a
1464c0b3454d
153628037543
hex1e889458c9

131140442313 has 16 divisors (see below), whose sum is σ = 194287947840. Its totient is φ = 87424346592.

The previous prime is 131140442297. The next prime is 131140442359. The reversal of 131140442313 is 313244041131.

131140442313 is a `hidden beast` number, since 13 + 11 + 404 + 4 + 231 + 3 = 666.

It is not a de Polignac number, because 131140442313 - 24 = 131140442297 is a prime.

It is a super-2 number, since 2×1311404423132 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131140446313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361845 + ... + 1454957.

It is an arithmetic number, because the mean of its divisors is an integer number (12142996740).

Almost surely, 2131140442313 is an apocalyptic number.

It is an amenable number.

131140442313 is a deficient number, since it is larger than the sum of its proper divisors (63147505527).

131140442313 is an equidigital number, since it uses as much as digits as its factorization.

131140442313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145285 (or 145279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131140442313 its reverse (313244041131), we get a palindrome (444384483444).

The spelling of 131140442313 in words is "one hundred thirty-one billion, one hundred forty million, four hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 27 52163 93113 156489 279339 469467 838017 1408401 2514051 4857053419 14571160257 43713480771 131140442313