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12111130313 = 31267792381
BaseRepresentation
bin10110100011110000…
…10010111011001001
31011021001020011110222
423101320102323021
5144300422132223
65321435315425
7606060623552
oct132170227311
934231204428
1012111130313
115155465507
12241bbabb75
1311b01a44c9
1482c6a9329
154ad3c30c8
hex2d1e12ec9

12111130313 has 24 divisors (see below), whose sum is σ = 12867373440. Its totient is φ = 11394583200.

The previous prime is 12111130289. The next prime is 12111130349. The reversal of 12111130313 is 31303111121.

12111130313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12111130313 - 214 = 12111113929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111130291 and 12111130300.

It is not an unprimeable number, because it can be changed into a prime (12111130393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5085383 + ... + 5087763.

It is an arithmetic number, because the mean of its divisors is an integer number (536140560).

Almost surely, 212111130313 is an apocalyptic number.

It is an amenable number.

12111130313 is a deficient number, since it is larger than the sum of its proper divisors (756243127).

12111130313 is an equidigital number, since it uses as much as digits as its factorization.

12111130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 12111130313 its reverse (31303111121), we get a palindrome (43414241434).

The spelling of 12111130313 in words is "twelve billion, one hundred eleven million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 31 67 79 961 2077 2381 2449 5293 64387 73811 75919 159527 164083 188099 2288141 4945337 5086573 5831069 12602633 153305447 180763139 390681623 12111130313