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12135331 = 1317431277
BaseRepresentation
bin101110010010…
…101110100011
3211211112112201
4232102232203
511101312311
61112034031
7205101655
oct56225643
924745481
1012135331
1169394aa
124092917
13268b790
14187c6d5
1510ea9c1
hexb92ba3

12135331 has 16 divisors (see below), whose sum is σ = 14170464. Its totient is φ = 10289664.

The previous prime is 12135313. The next prime is 12135337. The reversal of 12135331 is 13353121.

It is a cyclic number.

It is not a de Polignac number, because 12135331 - 27 = 12135203 is a prime.

It is a super-2 number, since 2×121353312 = 294532516959122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12135299 and 12135308.

It is not an unprimeable number, because it can be changed into a prime (12135337) 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, 8865 + ... + 10141.

It is an arithmetic number, because the mean of its divisors is an integer number (885654).

Almost surely, 212135331 is an apocalyptic number.

12135331 is a deficient number, since it is larger than the sum of its proper divisors (2035133).

12135331 is a wasteful number, since it uses less digits than its factorization.

12135331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350.

The product of its digits is 270, while the sum is 19.

The square root of 12135331 is about 3483.5801985888. The cubic root of 12135331 is about 229.8002739984.

Adding to 12135331 its reverse (13353121), we get a palindrome (25488452).

The spelling of 12135331 in words is "twelve million, one hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 13 17 43 221 559 731 1277 9503 16601 21709 54911 282217 713843 933487 12135331