Base | Representation |
---|---|
bin | 1100100010110… |
… | …11011111111111 |
3 | 21100000100200200 |
4 | 12101123133333 |
5 | 203414414013 |
6 | 14235254543 |
7 | 2415313644 |
oct | 621333777 |
9 | 240010620 |
10 | 105232383 |
11 | 54445713 |
12 | 2b2aa453 |
13 | 18a562a9 |
14 | dd93dcb |
15 | 9389e73 |
hex | 645b7ff |
105232383 has 36 divisors (see below), whose sum is σ = 164202480. Its totient is φ = 64940040.
The previous prime is 105232367. The next prime is 105232399. The reversal of 105232383 is 383232501.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (105232367) and next prime (105232399).
It is not a de Polignac number, because 105232383 - 24 = 105232367 is a prime.
It is a super-2 number, since 2×1052323832 = 22147708863717378, which contains 22 as substring.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105232333) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3394578 + ... + 3394608.
It is an arithmetic number, because the mean of its divisors is an integer number (4561180).
Almost surely, 2105232383 is an apocalyptic number.
105232383 is a deficient number, since it is larger than the sum of its proper divisors (58970097).
105232383 is an frugal number, since it uses more digits than its factorization.
105232383 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 57 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 105232383 is about 10258.2836283659. The cubic root of 105232383 is about 472.1171771103.
Adding to 105232383 its reverse (383232501), we get a palindrome (488464884).
The spelling of 105232383 in words is "one hundred five million, two hundred thirty-two thousand, three hundred eighty-three".
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