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231330105 = 32537138937
BaseRepresentation
bin11011100100111…
…01000100111001
3121010021210020200
431302131010321
5433210030410
634542112413
75506162536
oct1562350471
9533253220
10231330105
11109641806
126557b709
1338c06826
1422a19d8d
15154973c0
hexdc9d139

231330105 has 24 divisors (see below), whose sum is σ = 411812232. Its totient is φ = 120040704.

The previous prime is 231330103. The next prime is 231330109. The reversal of 231330105 is 501033132.

231330105 is a `hidden beast` number, since 231 + 330 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129481641 + 101848464 = 11379^2 + 10092^2 .

It is not a de Polignac number, because 231330105 - 21 = 231330103 is a prime.

It is a super-2 number, since 2×2313301052 = 107027234958622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231330103) 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, 67804 + ... + 71133.

It is an arithmetic number, because the mean of its divisors is an integer number (17158843).

Almost surely, 2231330105 is an apocalyptic number.

It is an amenable number.

231330105 is a deficient number, since it is larger than the sum of its proper divisors (180482127).

231330105 is a wasteful number, since it uses less digits than its factorization.

231330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138985 (or 138982 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 231330105 is about 15209.5399338705. The cubic root of 231330105 is about 613.8713784134.

Adding to 231330105 its reverse (501033132), we get a palindrome (732363237).

The spelling of 231330105 in words is "two hundred thirty-one million, three hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 138937 416811 694685 1250433 2084055 5140669 6252165 15422007 25703345 46266021 77110035 231330105