Search a number
-
+
131433335241 = 31319317461583
BaseRepresentation
bin111101001101000001…
…0011000100111001001
3110120020211000012221020
41322122002120213021
54123133413211431
6140214000303053
712332016626205
oct1723202304711
9416224005836
10131433335241
115081676710a
1221580911a89
13c517b253b0
14650b9b7b05
153643ae0696
hex1e9a0989c9

131433335241 has 16 divisors (see below), whose sum is σ = 189702648576. Its totient is φ = 80462969856.

The previous prime is 131433335207. The next prime is 131433335263. The reversal of 131433335241 is 142533334131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-131433335241 is a prime.

It is a super-2 number, since 2×1314333352412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131433335281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8723265 + ... + 8738318.

It is an arithmetic number, because the mean of its divisors is an integer number (11856415536).

Almost surely, 2131433335241 is an apocalyptic number.

It is an amenable number.

131433335241 is a deficient number, since it is larger than the sum of its proper divisors (58269313335).

131433335241 is a wasteful number, since it uses less digits than its factorization.

131433335241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461792.

The product of its digits is 38880, while the sum is 33.

Adding to 131433335241 its reverse (142533334131), we get a palindrome (273966669372).

The spelling of 131433335241 in words is "one hundred thirty-one billion, four hundred thirty-three million, three hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 13 39 193 579 2509 7527 17461583 52384749 227000579 681001737 3370085519 10110256557 43811111747 131433335241