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12331333003 = 113131197359
BaseRepresentation
bin10110111110000000…
…10011010110001011
31011211101120121210011
423133000103112023
5200223310124003
65355343132351
7614403413113
oct133700232613
934741517704
1012331333003
115258797000
1224818a40b7
1312169b3262
1484da2a043
154c28bd46d
hex2df01358b

12331333003 has 32 divisors (see below), whose sum is σ = 13774717440. Its totient is φ = 11037426400.

The previous prime is 12331332983. The next prime is 12331333019. The reversal of 12331333003 is 30033313321.

12331333003 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 12331333003 - 217 = 12331201931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12331333043) 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 31 ways as a sum of consecutive naturals, for example, 34348938 + ... + 34349296.

It is an arithmetic number, because the mean of its divisors is an integer number (430459920).

Almost surely, 212331333003 is an apocalyptic number.

12331333003 is a deficient number, since it is larger than the sum of its proper divisors (1443384437).

12331333003 is a wasteful number, since it uses less digits than its factorization.

12331333003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 12331333003 its reverse (30033313321), we get a palindrome (42364646324).

The spelling of 12331333003 in words is "twelve billion, three hundred thirty-one million, three hundred thirty-three thousand, three".

Divisors: 1 11 121 131 197 359 1331 1441 2167 3949 15851 23837 25807 43439 47029 70723 174361 262207 283877 477829 517319 777953 3122647 5690509 8557483 9264713 34349117 62595599 94132313 101911843 1121030273 12331333003