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131444120242313 = 537333973667677
BaseRepresentation
bin11101111000110000111000…
…000110000100100010001001
3122020101221020202000121122022
4131320300320012010202021
5114212040024240223223
61143320332322334225
736454344556216544
oct3570607006044211
9566357222017568
10131444120242313
113897815815459a
12128aa901aba375
135846186a432c8
142465d0226985b
15102e26acb7ac8
hex778c38184889

131444120242313 has 8 divisors (see below), whose sum is σ = 135758776041288. Its totient is φ = 127197411778944.

The previous prime is 131444120242231. The next prime is 131444120242399. The reversal of 131444120242313 is 313242021444131.

It can be written as a sum of positive squares in 4 ways, for example, as 23389488167824 + 108054632074489 = 4836268^2 + 10394933^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131444120242313 - 222 = 131444116048009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131444120242613) 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 7 ways as a sum of consecutive naturals, for example, 16986829970 + ... + 16986837707.

It is an arithmetic number, because the mean of its divisors is an integer number (16969847005161).

Almost surely, 2131444120242313 is an apocalyptic number.

It is an amenable number.

131444120242313 is a deficient number, since it is larger than the sum of its proper divisors (4314655798975).

131444120242313 is an equidigital number, since it uses as much as digits as its factorization.

131444120242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973667803.

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 131444120242313 its reverse (313242021444131), we get a palindrome (444686141686444).

The spelling of 131444120242313 in words is "one hundred thirty-one trillion, four hundred forty-four billion, one hundred twenty million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 53 73 3869 33973667677 1800604386881 2480077740421 131444120242313