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131343432310041 = 37216735869149161
BaseRepresentation
bin11101110111010011000110…
…101000000101110100011001
3122020001022100121220200201120
4131313103012220011310121
5114203412322132410131
61143202201222435453
736444151460010600
oct3567230650056431
9566038317820646
10131343432310041
1138939489471826
12128932a1892b89
13583982b85b263
1424610adad2a37
15102b826491496
hex7774c6a05d19

131343432310041 has 48 divisors (see below), whose sum is σ = 204943289765760. Its totient is φ = 74601388350720.

The previous prime is 131343432310033. The next prime is 131343432310043. The reversal of 131343432310041 is 140013234343131.

It is not a de Polignac number, because 131343432310041 - 23 = 131343432310033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131343432309984 and 131343432310011.

It is not an unprimeable number, because it can be changed into a prime (131343432310043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880473501 + ... + 880622661.

It is an arithmetic number, because the mean of its divisors is an integer number (4269651870120).

Almost surely, 2131343432310041 is an apocalyptic number.

It is an amenable number.

131343432310041 is a deficient number, since it is larger than the sum of its proper divisors (73599857455719).

131343432310041 is a wasteful number, since it uses less digits than its factorization.

131343432310041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185214 (or 185207 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 131343432310041 its reverse (140013234343131), we get a palindrome (271356666653172).

The spelling of 131343432310041 in words is "one hundred thirty-one trillion, three hundred forty-three billion, four hundred thirty-two million, three hundred ten thousand, forty-one".

Divisors: 1 3 7 21 49 147 167 501 1169 3507 8183 24549 35869 107607 149161 251083 447483 753249 1044127 1757581 3132381 5272743 5990123 7308889 17970369 21926667 24909887 41930861 74729661 125792583 174369209 293516027 523107627 880548081 1220584463 3661753389 5350255909 16050767727 37451791363 112355374089 262162539541 786487618623 893492736803 2680478210409 6254449157621 18763347472863 43781144103347 131343432310041