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231132321 = 32719193093
BaseRepresentation
bin11011100011011…
…00110010100001
3121002220201221100
431301230302201
5433132213241
634533545013
75504410110
oct1561546241
9532821840
10231132321
11109517152
12654a5169
1338b677b4
14229a7c77
15154589b6
hexdc6cca1

231132321 has 24 divisors (see below), whose sum is σ = 401635520. Its totient is φ = 125123616.

The previous prime is 231132299. The next prime is 231132337. The reversal of 231132321 is 123231132.

231132321 is a `hidden beast` number, since 2 + 311 + 32 + 321 = 666.

231132321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231132321 - 26 = 231132257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 231132294 and 231132303.

It is not an unprimeable number, because it can be changed into a prime (231132371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95350 + ... + 97743.

Almost surely, 2231132321 is an apocalyptic number.

231132321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

231132321 is a deficient number, since it is larger than the sum of its proper divisors (170503199).

231132321 is a wasteful number, since it uses less digits than its factorization.

231132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193125 (or 193122 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 231132321 is about 15203.0365716853. The cubic root of 231132321 is about 613.6963780525.

Adding to 231132321 its reverse (123231132), we get a palindrome (354363453).

The spelling of 231132321 in words is "two hundred thirty-one million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 193093 579279 1351651 1737837 3668767 4054953 11006301 12164859 25681369 33018903 77044107 231132321