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12000103311 = 371765732363
BaseRepresentation
bin10110010110100001…
…10000101110001111
31010222022022102001210
423023100300232033
5144034011301221
65302431505503
7603242123640
oct131320605617
933868272053
1012000103311
1150a8822259
1223aa988293
13119319c861
1481ba476c7
154a3791276
hex2cb430b8f

12000103311 has 16 divisors (see below), whose sum is σ = 18287472384. Its totient is φ = 6856601664.

The previous prime is 12000103289. The next prime is 12000103337. The reversal of 12000103311 is 11330100021.

12000103311 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 12000103311 - 218 = 11999841167 is a prime.

It is a super-3 number, since 3×120001033113 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000103211) 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 15 ways as a sum of consecutive naturals, for example, 354616 + ... + 386978.

It is an arithmetic number, because the mean of its divisors is an integer number (1142967024).

Almost surely, 212000103311 is an apocalyptic number.

12000103311 is a deficient number, since it is larger than the sum of its proper divisors (6287369073).

12000103311 is a wasteful number, since it uses less digits than its factorization.

12000103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50030.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 12000103311 its reverse (11330100021), we get a palindrome (23330203332).

The spelling of 12000103311 in words is "twelve billion, one hundred three thousand, three hundred eleven".

Divisors: 1 3 7 21 17657 32363 52971 97089 123599 226541 370797 679623 571433491 1714300473 4000034437 12000103311