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12000131 = 1113312707
BaseRepresentation
bin101101110001…
…101110000011
3211120200002022
4231301232003
511033001011
61105112055
7203666543
oct55615603
924520068
1012000131
116856970
12402862b
132642090
141845323
1510c08db
hexb71b83

12000131 has 16 divisors (see below), whose sum is σ = 14558208. Its totient is φ = 9741600.

The previous prime is 12000127. The next prime is 12000133. The reversal of 12000131 is 13100021.

It is not a de Polignac number, because 12000131 - 22 = 12000127 is a prime.

It is a super-2 number, since 2×120001312 = 288006288034322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12000133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3080 + ... + 5786.

It is an arithmetic number, because the mean of its divisors is an integer number (909888).

Almost surely, 212000131 is an apocalyptic number.

12000131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12000131 is a deficient number, since it is larger than the sum of its proper divisors (2558077).

12000131 is a wasteful number, since it uses less digits than its factorization.

12000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 12000131 is about 3464.1205233075. The cubic root of 12000131 is about 228.9436816052.

Adding to 12000131 its reverse (13100021), we get a palindrome (25100152).

The spelling of 12000131 in words is "twelve million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 13 31 143 341 403 2707 4433 29777 35191 83917 387101 923087 1090921 12000131