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12323233232321 = 1110116368049197
BaseRepresentation
bin1011001101010011100111…
…1100000111010111000001
31121122002102022102121201112
42303110321330013113001
53103400440201413241
642113114252013105
72411216131112144
oct263247174072701
947562368377645
1012323233232321
113a21287991450
1214703a9a61195
136b50ca9cbc2b
1430863a5a205b
151658501101eb
hexb3539f075c1

12323233232321 has 16 divisors (see below), whose sum is σ = 13659923809728. Its totient is φ = 11023969752000.

The previous prime is 12323233232311. The next prime is 12323233232353.

12323233232321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12323233232321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12323233232311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33843506 + ... + 34205691.

It is an arithmetic number, because the mean of its divisors is an integer number (853745238108).

Almost surely, 212323233232321 is an apocalyptic number.

12323233232321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12323233232321 is a deficient number, since it is larger than the sum of its proper divisors (1336690577407).

12323233232321 is a wasteful number, since it uses less digits than its factorization.

12323233232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68049472.

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 1232323 and 3232321, that added together give a palindrome (4464644).

The spelling of 12323233232321 in words is "twelve trillion, three hundred twenty-three billion, two hundred thirty-three million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 11 101 163 1111 1793 16463 181093 68049197 748541167 6872968897 11092019111 75602657867 122012210221 1120293930211 12323233232321