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12033011213 = 17241636717
BaseRepresentation
bin10110011010011100…
…10010111000001101
31011001121020022012222
423031032102320031
5144120422324323
65310005105125
7604121623226
oct131516227015
934047208188
1012033011213
115115359473
1223b99b81a5
131199c522a2
1482217224d
154a65e19c8
hex2cd392e0d

12033011213 has 6 divisors (see below), whose sum is σ = 12782472426. Its totient is φ = 11325186752.

The previous prime is 12033011189. The next prime is 12033011231. The reversal of 12033011213 is 31211033021.

12033011213 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 3 ways, for example, as 9138786409 + 2894224804 = 95597^2 + 53798^2 .

It is not a de Polignac number, because 12033011213 - 212 = 12033007117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12033011191 and 12033011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033011273) 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 5 ways as a sum of consecutive naturals, for example, 20818070 + ... + 20818647.

It is an arithmetic number, because the mean of its divisors is an integer number (2130412071).

Almost surely, 212033011213 is an apocalyptic number.

It is an amenable number.

12033011213 is a deficient number, since it is larger than the sum of its proper divisors (749461213).

12033011213 is an equidigital number, since it uses as much as digits as its factorization.

12033011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41636751 (or 41636734 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12033011213 its reverse (31211033021), we get a palindrome (43244044234).

The spelling of 12033011213 in words is "twelve billion, thirty-three million, eleven thousand, two hundred thirteen".

Divisors: 1 17 289 41636717 707824189 12033011213