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12220311131 = 72922075813
BaseRepresentation
bin10110110000110001…
…10010011001011011
31011112122200010101222
423120120302121123
5200011344424011
65340335402255
7611554634150
oct133030623133
934478603358
1012220311131
115201057696
12245068338b
1311c99b0a42
1483cdaa227
154b7c8cddb
hex2d863265b

12220311131 has 12 divisors (see below), whose sum is σ = 14464271952. Its totient is φ = 10113356064.

The previous prime is 12220311121. The next prime is 12220311137. The reversal of 12220311131 is 13111302221.

12220311131 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 12220311131 - 230 = 11146569307 is a prime.

It is a super-2 number, since 2×122203111312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12220311137) 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 11 ways as a sum of consecutive naturals, for example, 1032020 + ... + 1043793.

It is an arithmetic number, because the mean of its divisors is an integer number (1205355996).

Almost surely, 212220311131 is an apocalyptic number.

12220311131 is a deficient number, since it is larger than the sum of its proper divisors (2243960821).

12220311131 is an equidigital number, since it uses as much as digits as its factorization.

12220311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075878 (or 2075849 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12220311131 its reverse (13111302221), we get a palindrome (25331613352).

The spelling of 12220311131 in words is "twelve billion, two hundred twenty million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 7 29 203 841 5887 2075813 14530691 60198577 421390039 1745758733 12220311131