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12111311233 = 723375691289
BaseRepresentation
bin10110100011110001…
…11111000110000001
31011021001120100122201
423101320333012001
5144300443424413
65321443233201
7606062306200
oct132170770601
934231510581
1012111311233
11515557942a
122420078801
1311b0238968
1482c715237
154ad40b9dd
hex2d1e3f181

12111311233 has 24 divisors (see below), whose sum is σ = 14166289800. Its totient is φ = 10324113408.

The previous prime is 12111311221. The next prime is 12111311239. The reversal of 12111311233 is 33211311121.

12111311233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 784392049 + 11326919184 = 28007^2 + 106428^2 .

It is not a de Polignac number, because 12111311233 - 213 = 12111303041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12111311233.

It is not an unprimeable number, because it can be changed into a prime (12111311239) 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, 9395253 + ... + 9396541.

It is an arithmetic number, because the mean of its divisors is an integer number (590262075).

Almost surely, 212111311233 is an apocalyptic number.

It is an amenable number.

12111311233 is a deficient number, since it is larger than the sum of its proper divisors (2054978567).

12111311233 is a wasteful number, since it uses less digits than its factorization.

12111311233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

Adding to 12111311233 its reverse (33211311121), we get a palindrome (45322622354).

The spelling of 12111311233 in words is "twelve billion, one hundred eleven million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 7 49 337 569 1289 2359 3983 9023 16513 27881 63161 191753 434393 733441 1342271 3040751 5134087 9395897 21285257 35938609 247169617 1730187319 12111311233