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13331332032 = 26369434021
BaseRepresentation
bin11000110101001101…
…11111101111000000
31021102002020211120020
430122212333233000
5204300310111112
610042504413440
7651235311144
oct143246775700
937362224506
1013331332032
11572120a087
122700777280
131345c1cb65
14906777224
1553059e48c
hex31a9bfbc0

13331332032 has 28 divisors (see below), whose sum is σ = 35272483176. Its totient is φ = 4443777280.

The previous prime is 13331332009. The next prime is 13331332033. The reversal of 13331332032 is 23023313331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13331331993 and 13331332011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331332033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34716819 + ... + 34717202.

It is an arithmetic number, because the mean of its divisors is an integer number (1259731542).

Almost surely, 213331332032 is an apocalyptic number.

13331332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331332032 is an abundant number, since it is smaller than the sum of its proper divisors (21941151144).

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

13331332032 is an equidigital number, since it uses as much as digits as its factorization.

13331332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69434036 (or 69434026 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13331332032 its reverse (23023313331), we get a palindrome (36354645363).

The spelling of 13331332032 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 69434021 138868042 208302063 277736084 416604126 555472168 833208252 1110944336 1666416504 2221888672 3332833008 4443777344 6665666016 13331332032