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12001110311 = 17994171249
BaseRepresentation
bin10110010110101001…
…00110100100100111
31010222101012120102002
423023110212210213
5144034241012221
65302505235515
7603253516541
oct131324464447
933871176362
1012001110311
1150a934a893
1223ab192b9b
131193463008
1481bc2a691
154a38de80b
hex2cb526927

12001110311 has 8 divisors (see below), whose sum is σ = 12081150000. Its totient is φ = 11921215360.

The previous prime is 12001110227. The next prime is 12001110371. The reversal of 12001110311 is 11301110021.

It is a happy number.

12001110311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12001110311 - 214 = 12001093927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001110292 and 12001110301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001110371) 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 7 ways as a sum of consecutive naturals, for example, 132815 + ... + 204063.

It is an arithmetic number, because the mean of its divisors is an integer number (1510143750).

Almost surely, 212001110311 is an apocalyptic number.

12001110311 is a deficient number, since it is larger than the sum of its proper divisors (80039689).

12001110311 is an equidigital number, since it uses as much as digits as its factorization.

12001110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72369.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 12001110311 its reverse (11301110021), we get a palindrome (23302220332).

The spelling of 12001110311 in words is "twelve billion, one million, one hundred ten thousand, three hundred eleven".

Divisors: 1 179 941 71249 168439 12753571 67045309 12001110311