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12000913 = 193743397
BaseRepresentation
bin101101110001…
…111010010001
3211120201011021
4231301322101
511033012123
61105115441
7204002041
oct55617221
924521137
1012000913
116857511
124028b81
132642542
141845721
1510c0c5d
hexb71e91

12000913 has 16 divisors (see below), whose sum is σ = 13309120. Its totient is φ = 10777536.

The previous prime is 12000899. The next prime is 12000931. The reversal of 12000913 is 31900021.

It is a 7-Lehmer number, since φ(12000913) divides (12000913-1)7.

It is a cyclic number.

It is not a de Polignac number, because 12000913 - 25 = 12000881 is a prime.

It is a super-3 number, since 3×120009133 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12000613) 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, 30031 + ... + 30427.

It is an arithmetic number, because the mean of its divisors is an integer number (831820).

Almost surely, 212000913 is an apocalyptic number.

It is an amenable number.

12000913 is a deficient number, since it is larger than the sum of its proper divisors (1308207).

12000913 is a wasteful number, since it uses less digits than its factorization.

12000913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 12000913 is about 3464.2333928302. The cubic root of 12000913 is about 228.9486546084.

Adding to 12000913 its reverse (31900021), we get a palindrome (43900934).

The spelling of 12000913 in words is "twelve million, nine hundred thirteen", and thus it is an aban number.

Divisors: 1 19 37 43 397 703 817 1591 7543 14689 17071 30229 279091 324349 631627 12000913