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42111 = 324679
BaseRepresentation
bin1010010001111111
32010202200
422101333
52321421
6522543
7233526
oct122177
963680
1042111
1129703
1220453
1316224
14114bd
15c726
hexa47f

42111 has 6 divisors (see below), whose sum is σ = 60840. Its totient is φ = 28068.

The previous prime is 42101. The next prime is 42131. The reversal of 42111 is 11124.

It is a happy number.

It is not a de Polignac number, because 42111 - 27 = 41983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 4679 = 42111 / (4 + 2 + 1 + 1 + 1).

42111 is a modest number, since divided by 111 gives 42 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42093 and 42102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2331 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (10140).

242111 is an apocalyptic number.

42111 is a deficient number, since it is larger than the sum of its proper divisors (18729).

42111 is a wasteful number, since it uses less digits than its factorization.

42111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4682 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 42111 is about 205.2096488960. The cubic root of 42111 is about 34.7908616512.

Adding to 42111 its reverse (11124), we get a palindrome (53235).

It can be divided in two parts, 42 and 111, that added together give a triangular number (153 = T17).

The spelling of 42111 in words is "forty-two thousand, one hundred eleven", and thus it is an iban number.

Divisors: 1 3 9 4679 14037 42111