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12760335111131 = 247730047171449
BaseRepresentation
bin1011100110101111111100…
…1111011101001111011011
31200011212122200201201022222
42321223333033131033123
53133031131242024011
643050003402134255
72454621666560066
oct271537717351733
950155580651288
1012760335111131
11407a69a566503
1215210564b138b
137173a9b58cca
143218640898dd
15171dd3d72ddb
hexb9aff3dd3db

12760335111131 has 8 divisors (see below), whose sum is σ = 12765985948800. Its totient is φ = 12754684681408.

The previous prime is 12760335111109. The next prime is 12760335111191. The reversal of 12760335111131 is 13111153306721.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12760335111131 is a prime.

It is a super-2 number, since 2×127603351111312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12760335111091 and 12760335111100.

It is not an unprimeable number, because it can be changed into a prime (12760335111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74340695 + ... + 74512143.

It is an arithmetic number, because the mean of its divisors is an integer number (1595748243600).

Almost surely, 212760335111131 is an apocalyptic number.

12760335111131 is a deficient number, since it is larger than the sum of its proper divisors (5650837669).

12760335111131 is a wasteful number, since it uses less digits than its factorization.

12760335111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203973.

The product of its (nonzero) digits is 11340, while the sum is 35.

Adding to 12760335111131 its reverse (13111153306721), we get a palindrome (25871488417852).

The spelling of 12760335111131 in words is "twelve trillion, seven hundred sixty billion, three hundred thirty-five million, one hundred eleven thousand, one hundred thirty-one".

Divisors: 1 2477 30047 171449 74426419 424679173 5151528103 12760335111131