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231141321 = 32531732801
BaseRepresentation
bin11011100011011…
…10111111001001
3121002221012021200
431301232333021
5433133010241
634534054413
75504445255
oct1561567711
9532835250
10231141321
11109522994
12654aa409
1338b6b918
14229ab265
151545b4b6
hexdc6efc9

231141321 has 24 divisors (see below), whose sum is σ = 342258696. Its totient is φ = 150259200.

The previous prime is 231141271. The next prime is 231141341. The reversal of 231141321 is 123141132.

231141321 is a `hidden beast` number, since 231 + 1 + 413 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107931321 + 123210000 = 10389^2 + 11100^2 .

It is not a de Polignac number, because 231141321 - 29 = 231140809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231141294 and 231141303.

It is not an unprimeable number, because it can be changed into a prime (231141341) 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, 81121 + ... + 83921.

It is an arithmetic number, because the mean of its divisors is an integer number (14260779).

Almost surely, 2231141321 is an apocalyptic number.

It is an amenable number.

231141321 is a deficient number, since it is larger than the sum of its proper divisors (111117375).

231141321 is a wasteful number, since it uses less digits than its factorization.

231141321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033 (or 3030 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 231141321 is about 15203.3325623036. The cubic root of 231141321 is about 613.7043434692.

Adding to 231141321 its reverse (123141132), we get a palindrome (354282453).

The spelling of 231141321 in words is "two hundred thirty-one million, one hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 53 159 173 477 519 1557 2801 8403 9169 25209 27507 82521 148453 445359 484573 1336077 1453719 4361157 25682369 77047107 231141321