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42123 = 319739
BaseRepresentation
bin1010010010001011
32010210010
422102023
52321443
6523003
7233544
oct122213
963703
1042123
1129714
1220463
1316233
14114cb
15c733
hexa48b

42123 has 8 divisors (see below), whose sum is σ = 59200. Its totient is φ = 26568.

The previous prime is 42101. The next prime is 42131. The reversal of 42123 is 32124.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42123 - 29 = 41611 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42099 and 42108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42123.

It is not an unprimeable number, because it can be changed into a prime (42193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (7400).

242123 is an apocalyptic number.

42123 is a deficient number, since it is larger than the sum of its proper divisors (17077).

42123 is a wasteful number, since it uses less digits than its factorization.

42123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761.

The product of its digits is 48, while the sum is 12.

The square root of 42123 is about 205.2388852045. The cubic root of 42123 is about 34.7941660190.

Adding to 42123 its reverse (32124), we get a palindrome (74247).

Subtracting from 42123 its reverse (32124), we obtain a palindrome (9999).

It can be divided in two parts, 421 and 23, that added together give a palindrome (444).

The spelling of 42123 in words is "forty-two thousand, one hundred twenty-three", and thus it is an iban number.

Divisors: 1 3 19 57 739 2217 14041 42123