Search a number
-
+
12331431084 = 2237383383297
BaseRepresentation
bin10110111110000001…
…01011010010101100
31011211101202121022210
423133000223102230
5200223321243314
65355345210420
7614404302060
oct133700532254
934741677283
1012331431084
115258853765
122481930a10
131216a18aab
1484da53aa0
154c28dc559
hex2df02b4ac

12331431084 has 48 divisors (see below), whose sum is σ = 32969760768. Its totient is φ = 3514057728.

The previous prime is 12331431029. The next prime is 12331431089. The reversal of 12331431084 is 48013413321.

It is a happy number.

12331431084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×123314310843 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331431089) 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, 159477 + ... + 223820.

It is an arithmetic number, because the mean of its divisors is an integer number (686870016).

Almost surely, 212331431084 is an apocalyptic number.

12331431084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12331431084 is an abundant number, since it is smaller than the sum of its proper divisors (20638329684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12331431084 is a wasteful number, since it uses less digits than its factorization.

12331431084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383694 (or 383692 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 12331431084 in words is "twelve billion, three hundred thirty-one million, four hundred thirty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 383 766 1149 1532 2298 2681 4596 5362 8043 10724 16086 32172 383297 766594 1149891 1533188 2299782 2683079 4599564 5366158 8049237 10732316 16098474 32196948 146802751 293605502 440408253 587211004 880816506 1027619257 1761633012 2055238514 3082857771 4110477028 6165715542 12331431084