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12311131211113 = 7217612357102793
BaseRepresentation
bin1011001100100110100010…
…0110100100010101101001
31121120221011220100020120211
42303021220212210111221
53103201144042223423
642103353335421121
72410310210454400
oct263115046442551
947527156306524
1012311131211113
113a17137688829
121469b90b247a1
136b3c1c696937
14307c0d1c8637
1516539293b10d
hexb32689a4569

12311131211113 has 48 divisors (see below), whose sum is σ = 15418801486224. Its totient is φ = 9764615024640.

The previous prime is 12311131211107. The next prime is 12311131211123. The reversal of 12311131211113 is 31111213111321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 87381133609 + 12223750077504 = 295603^2 + 3496248^2 .

It is not a de Polignac number, because 12311131211113 - 29 = 12311131210601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12311131211123) 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, 119714845 + ... + 119817637.

It is an arithmetic number, because the mean of its divisors is an integer number (321225030963).

Almost surely, 212311131211113 is an apocalyptic number.

It is an amenable number.

12311131211113 is a deficient number, since it is larger than the sum of its proper divisors (3107670275111).

12311131211113 is a wasteful number, since it uses less digits than its factorization.

12311131211113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105242 (or 105235 counting only the distinct ones).

The product of its digits is 108, while the sum is 22.

Adding to 12311131211113 its reverse (31111213111321), we get a palindrome (43422344322434).

The spelling of 12311131211113 in words is "twelve trillion, three hundred eleven billion, one hundred thirty-one million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 7 17 49 61 119 427 833 1037 2357 2989 7259 16499 40069 50813 102793 115493 143777 280483 719551 1006439 1747481 1963381 2444209 5036857 6270373 7045073 12232367 17109463 43892611 85626569 106596341 119766241 242283101 307248277 746174387 1695981707 4118812717 5223220709 11871871949 14779269161 28831689019 103454884127 201821823133 251247575737 724184188889 1758733030159 12311131211113