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12012013 = 1321737113
BaseRepresentation
bin101101110100…
…100111101101
3211121021101101
4231310213231
511033341023
61105243101
7204046306
oct55644755
924537341
1012012013
116864892
124033491
132647600
1418497ad
1510c41ad
hexb749ed

12012013 has 24 divisors (see below), whose sum is σ = 14269608. Its totient is φ = 10063872.

The previous prime is 12011983. The next prime is 12012017. The reversal of 12012013 is 31021021.

It can be written as a sum of positive squares in 12 ways, for example, as 5391684 + 6620329 = 2322^2 + 2573^2 .

It is not a de Polignac number, because 12012013 - 29 = 12011501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106245 + ... + 106357.

It is an arithmetic number, because the mean of its divisors is an integer number (594567).

Almost surely, 212012013 is an apocalyptic number.

12012013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12012013 is a deficient number, since it is larger than the sum of its proper divisors (2257595).

12012013 is a wasteful number, since it uses less digits than its factorization.

12012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 12012013 is about 3465.8351085994. The cubic root of 12012013 is about 229.0192199882.

Adding to 12012013 its reverse (31021021), we get a palindrome (43033034).

The spelling of 12012013 in words is "twelve million, twelve thousand, thirteen".

Divisors: 1 13 17 37 113 169 221 481 629 1469 1921 2873 4181 6253 8177 19097 24973 54353 71077 106301 324649 706589 924001 12012013