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131345532220041 = 3397407312313043
BaseRepresentation
bin11101110111010101000011…
…110010100111001010001001
3122020001111202222021011201000
4131313111003302213022021
5114203431122222020131
61143203145435045213
736444254505651306
oct3567250362471211
9566044688234630
10131345532220041
113893a366849237
1212893788ba0809
135839aa4917159
14246122c9580ad
15102b8ea9dbce6
hex777543ca7289

131345532220041 has 32 divisors (see below), whose sum is σ = 196640297723520. Its totient is φ = 86639685737472.

The previous prime is 131345532220031. The next prime is 131345532220057. The reversal of 131345532220041 is 140022235543131.

131345532220041 is a `hidden beast` number, since 1 + 3 + 1 + 345 + 53 + 2 + 220 + 0 + 41 = 666.

It is not a de Polignac number, because 131345532220041 - 214 = 131345532203657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131345532219978 and 131345532220005.

It is not an unprimeable number, because it can be changed into a prime (131345532220031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4510666 + ... + 16823708.

It is an arithmetic number, because the mean of its divisors is an integer number (6145009303860).

Almost surely, 2131345532220041 is an apocalyptic number.

It is an amenable number.

131345532220041 is a deficient number, since it is larger than the sum of its proper divisors (65294765503479).

131345532220041 is a wasteful number, since it uses less digits than its factorization.

131345532220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12317222 (or 12317216 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 131345532220041 its reverse (140022235543131), we get a palindrome (271367767763172).

The spelling of 131345532220041 in words is "one hundred thirty-one trillion, three hundred forty-five billion, five hundred thirty-two million, two hundred twenty thousand, forty-one".

Divisors: 1 3 9 27 97 291 873 2619 4073 12219 36657 109971 395081 1185243 3555729 10667187 12313043 36939129 110817387 332452161 1194365171 3583095513 10749286539 32247859617 50151024139 150453072417 451359217251 1354077651753 4864649341483 14593948024449 43781844073347 131345532220041