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2311111313 = 7265372229
BaseRepresentation
bin1000100111000000…
…1100001010010001
312222001202121201022
42021300030022101
514213121030223
61021155045225
7111162056600
oct21160141221
95861677638
102311111313
11a86620155
12545ba0815
132aaa657b4
1417cd21a37
15d7d68ac8
hex89c0c291

2311111313 has 12 divisors (see below), whose sum is σ = 2692589940. Its totient is φ = 1977891552.

The previous prime is 2311111259. The next prime is 2311111321. The reversal of 2311111313 is 3131111132.

It can be written as a sum of positive squares in 2 ways, for example, as 428158864 + 1882952449 = 20692^2 + 43393^2 .

It is not a de Polignac number, because 2311111313 - 210 = 2311110289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2311111291 and 2311111300.

It is not an unprimeable number, because it can be changed into a prime (2311111343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4118 + ... + 68111.

It is an arithmetic number, because the mean of its divisors is an integer number (224382495).

Almost surely, 22311111313 is an apocalyptic number.

It is an amenable number.

2311111313 is a deficient number, since it is larger than the sum of its proper divisors (381478627).

2311111313 is an equidigital number, since it uses as much as digits as its factorization.

2311111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72896 (or 72889 counting only the distinct ones).

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

The square root of 2311111313 is about 48074.0191059578. The cubic root of 2311111313 is about 1322.1283602857.

Adding to 2311111313 its reverse (3131111132), we get a palindrome (5442222445).

The spelling of 2311111313 in words is "two billion, three hundred eleven million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 7 49 653 4571 31997 72229 505603 3539221 47165537 330158759 2311111313