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13205231 = 136715161
BaseRepresentation
bin110010010111…
…111011101111
3220211220011122
4302113323233
511340031411
61151011155
7220146134
oct62277357
926756148
1013205231
1174aa316
124509abb
132974760
141a7a58b
15125c9db
hexc97eef

13205231 has 8 divisors (see below), whose sum is σ = 14434224. Its totient is φ = 12006720.

The previous prime is 13205207. The next prime is 13205249. The reversal of 13205231 is 13250231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13205231 - 222 = 9010927 is a prime.

It is a super-2 number, since 2×132052312 = 348756251526722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6710 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (1804278).

Almost surely, 213205231 is an apocalyptic number.

13205231 is a deficient number, since it is larger than the sum of its proper divisors (1228993).

13205231 is a wasteful number, since it uses less digits than its factorization.

13205231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13205231 is about 3633.9002462919. The cubic root of 13205231 is about 236.3643646248.

Adding to 13205231 its reverse (13250231), we get a palindrome (26455462).

The spelling of 13205231 in words is "thirteen million, two hundred five thousand, two hundred thirty-one".

Divisors: 1 13 67 871 15161 197093 1015787 13205231