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131010413034341 = 171492347123773
BaseRepresentation
bin11101110010011100111101…
…001000010111101101100101
3122011212110202221101122222102
4131302130331020113231211
5114132433311214044331
61142345204115541445
736411122110612301
oct3562347510275545
9564773687348872
10131010413034341
11388202277a5a25
121283a8422ba885
1358142c8c944b9
14244cd1b562d01
151022d350a84cb
hex77273d217b65

131010413034341 has 12 divisors (see below), whose sum is σ = 139654142508132. Its totient is φ = 122476374722304.

The previous prime is 131010413034301. The next prime is 131010413034349. The reversal of 131010413034341 is 143430314010131.

It can be written as a sum of positive squares in 6 ways, for example, as 18390117256900 + 112620295777441 = 4288370^2 + 10612271^2 .

It is not a de Polignac number, because 131010413034341 - 210 = 131010413033317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010413034349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173184470 + ... + 173939303.

It is an arithmetic number, because the mean of its divisors is an integer number (11637845209011).

Almost surely, 2131010413034341 is an apocalyptic number.

It is an amenable number.

131010413034341 is a deficient number, since it is larger than the sum of its proper divisors (8643729473791).

131010413034341 is an equidigital number, since it uses as much as digits as its factorization.

131010413034341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347124088 (or 347123939 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 131010413034341 its reverse (143430314010131), we get a palindrome (274440727044472).

The spelling of 131010413034341 in words is "one hundred thirty-one trillion, ten billion, four hundred thirteen million, thirty-four thousand, three hundred forty-one".

Divisors: 1 17 149 2533 22201 377417 347123773 5901104141 51721442177 879264517009 7706494884373 131010413034341