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12023332113 = 313231764989
BaseRepresentation
bin10110011001010010…
…10111110100010001
31011000221000112222210
423030221113310101
5144110433111423
65305021422333
7603643431252
oct131451276421
934027015883
1012023332113
11510a948411
1223b670a9a9
131197c43800
14820b72b29
154a582db93
hex2cca57d11

12023332113 has 24 divisors (see below), whose sum is σ = 17919125760. Its totient is φ = 7160287680.

The previous prime is 12023332103. The next prime is 12023332117. The reversal of 12023332113 is 31123332021.

12023332113 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 12023332113 - 29 = 12023331601 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12023332113.

It is not an unprimeable number, because it can be changed into a prime (12023332117) 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 23 ways as a sum of consecutive naturals, for example, 366778 + ... + 398211.

It is an arithmetic number, because the mean of its divisors is an integer number (746630240).

Almost surely, 212023332113 is an apocalyptic number.

12023332113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12023332113 is a deficient number, since it is larger than the sum of its proper divisors (5895793647).

12023332113 is a wasteful number, since it uses less digits than its factorization.

12023332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765049 (or 765036 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12023332113 its reverse (31123332021), we get a palindrome (43146664134).

The spelling of 12023332113 in words is "twelve billion, twenty-three million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 3 13 31 39 93 169 403 507 1209 5239 15717 764989 2294967 9944857 23714659 29834571 71143977 129283141 308290567 387849423 924871701 4007777371 12023332113