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131433340313 = 1121957169787
BaseRepresentation
bin111101001101000001…
…0011001110110011001
3110120020211000110220002
41322122002121312121
54123133413342223
6140214000342345
712332016650042
oct1723202316631
9416224013802
10131433340313
115081676aa00
12215809149b5
13c517b277b2
14650b9b98c9
153643ae1e28
hex1e9a099d99

131433340313 has 12 divisors (see below), whose sum is σ = 152071636080. Its totient is φ = 113196176280.

The previous prime is 131433340189. The next prime is 131433340327. The reversal of 131433340313 is 313043334131.

It is not a de Polignac number, because 131433340313 - 226 = 131366231449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131433345313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28582595 + ... + 28587192.

It is an arithmetic number, because the mean of its divisors is an integer number (12672636340).

Almost surely, 2131433340313 is an apocalyptic number.

It is an amenable number.

131433340313 is a deficient number, since it is larger than the sum of its proper divisors (20638295767).

131433340313 is a wasteful number, since it uses less digits than its factorization.

131433340313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57169828 (or 57169817 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 131433340313 its reverse (313043334131), we get a palindrome (444476674444).

The spelling of 131433340313 in words is "one hundred thirty-one billion, four hundred thirty-three million, three hundred forty thousand, three hundred thirteen".

Divisors: 1 11 19 121 209 2299 57169787 628867657 1086225953 6917544227 11948485483 131433340313