Search a number
-
+
42312105 = 3351128493
BaseRepresentation
bin1010000101101…
…0000110101001
32221121200022000
42201122012221
541312441410
64110521213
71022434623
oct241320651
987550260
1042312105
112197a790
1212206209
1389c6064
145895c13
153aabdc0
hex285a1a9

42312105 has 32 divisors (see below), whose sum is σ = 82062720. Its totient is φ = 20514240.

The previous prime is 42312103. The next prime is 42312121. The reversal of 42312105 is 50121324.

It is not a de Polignac number, because 42312105 - 21 = 42312103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12762 + ... + 15731.

It is an arithmetic number, because the mean of its divisors is an integer number (2564460).

Almost surely, 242312105 is an apocalyptic number.

42312105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42312105 is a deficient number, since it is larger than the sum of its proper divisors (39750615).

42312105 is a wasteful number, since it uses less digits than its factorization.

42312105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28518 (or 28512 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42312105 is about 6504.7755533915. The cubic root of 42312105 is about 348.4615605591.

Adding to 42312105 its reverse (50121324), we get a palindrome (92433429).

It can be divided in two parts, 4231 and 2105, that added together give a palindrome (6336).

The spelling of 42312105 in words is "forty-two million, three hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 28493 85479 142465 256437 313423 427395 769311 940269 1282185 1567115 2820807 3846555 4701345 8462421 14104035 42312105