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12133517 = 112149673
BaseRepresentation
bin101110010010…
…010010001101
3211211110001112
4232102102031
511101233032
61112021405
7205063454
oct56222215
924743045
1012133517
116938100
124091865
13268a9c6
14187bb9b
1510ea1b2
hexb9248d

12133517 has 12 divisors (see below), whose sum is σ = 13446300. Its totient is φ = 10940160.

The previous prime is 12133487. The next prime is 12133519. The reversal of 12133517 is 71533121.

It can be written as a sum of positive squares in 2 ways, for example, as 2579236 + 9554281 = 1606^2 + 3091^2 .

It is not a de Polignac number, because 12133517 - 218 = 11871373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12133492 and 12133501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17693 + ... + 18365.

It is an arithmetic number, because the mean of its divisors is an integer number (1120525).

Almost surely, 212133517 is an apocalyptic number.

It is an amenable number.

12133517 is a deficient number, since it is larger than the sum of its proper divisors (1312783).

12133517 is a wasteful number, since it uses less digits than its factorization.

12133517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 833 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 12133517 is about 3483.3198245352. The cubic root of 12133517 is about 229.7888231784.

Adding to 12133517 its reverse (71533121), we get a palindrome (83666638).

The spelling of 12133517 in words is "twelve million, one hundred thirty-three thousand, five hundred seventeen".

Divisors: 1 11 121 149 673 1639 7403 18029 81433 100277 1103047 12133517