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12011131313 = 19365539497
BaseRepresentation
bin10110010111110101…
…10101000110110001
31011000002001200122022
423023322311012301
5144044322200223
65303504121225
7603434634356
oct131372650661
934002050568
1012011131313
115103a74805
1223b2606215
1311955612bc
1481d2b862d
154a471dac8
hex2cbeb51b1

12011131313 has 8 divisors (see below), whose sum is σ = 12076479048. Its totient is φ = 11945816064.

The previous prime is 12011131309. The next prime is 12011131361. The reversal of 12011131313 is 31313111021.

It can be written as a sum of positive squares in 4 ways, for example, as 140375104 + 11870756209 = 11848^2 + 108953^2 .

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 12011131313 - 22 = 12011131309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12011131291 and 12011131300.

It is not an unprimeable number, because it can be changed into a prime (12011131813) 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, 1259981 + ... + 1269477.

It is an arithmetic number, because the mean of its divisors is an integer number (1509559881).

Almost surely, 212011131313 is an apocalyptic number.

It is an amenable number.

12011131313 is a deficient number, since it is larger than the sum of its proper divisors (65347735).

12011131313 is an equidigital number, since it uses as much as digits as its factorization.

12011131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243.

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

Adding to 12011131313 its reverse (31313111021), we get a palindrome (43324242334).

The spelling of 12011131313 in words is "twelve billion, eleven million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 193 6553 9497 1264729 1832921 62233841 12011131313