Search a number
-
+
303033020032 = 276735335007
BaseRepresentation
bin1000110100011100010…
…11001110111010000000
31001222011220002102001101
410122032023032322000
514431102423120112
6351113401144144
730615304112341
oct4321613167200
91058156072041
10303033020032
11107574270126
124a89118b054
1322764304912
1410949ca20c8
157d38ac6757
hex468e2cee80

303033020032 has 32 divisors (see below), whose sum is σ = 612709038720. Its totient is φ = 149255065344.

The previous prime is 303033019997. The next prime is 303033020033. The reversal of 303033020032 is 230020330303.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3030330200322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 303033019991 and 303033020009.

It is not an unprimeable number, because it can be changed into a prime (303033020033) 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 3 ways as a sum of consecutive naturals, for example, 17658928 + ... + 17676079.

It is an arithmetic number, because the mean of its divisors is an integer number (19147157460).

Almost surely, 2303033020032 is an apocalyptic number.

303033020032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

303033020032 is an abundant number, since it is smaller than the sum of its proper divisors (309676018688).

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

303033020032 is an equidigital number, since it uses as much as digits as its factorization.

303033020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35335088 (or 35335076 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 19.

Adding to 303033020032 its reverse (230020330303), we get a palindrome (533053350335).

The spelling of 303033020032 in words is "three hundred three billion, thirty-three million, twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 536 1072 2144 4288 8576 35335007 70670014 141340028 282680056 565360112 1130720224 2261440448 2367445469 4522880896 4734890938 9469781876 18939563752 37879127504 75758255008 151516510016 303033020032