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112302 = 23217367
BaseRepresentation
bin11011011010101110
312201001100
4123122232
512043202
62223530
7645261
oct333256
9181040
10112302
1177413
1254ba6
133c168
142ccd8
152341c
hex1b6ae

112302 has 24 divisors (see below), whose sum is σ = 258336. Its totient is φ = 35136.

The previous prime is 112297. The next prime is 112303. The reversal of 112302 is 203211.

Adding to 112302 its reverse (203211), we get a palindrome (315513).

Subtracting 112302 from its reverse (203211), we obtain a palindrome (90909).

It can be divided in two parts, 112 and 302, that added together give a palindrome (414).

It is a happy number.

It is a super-2 number, since 2×1123022 = 25223478408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112303) by changing a digit.

112302 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 123 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (10764).

2112302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129168).

112302 is an abundant number, since it is smaller than the sum of its proper divisors (146034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112302 is a wasteful number, since it uses less digits than its factorization.

112302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112302 is about 335.1149056667. The cubic root of 112302 is about 48.2461315771.

The spelling of 112302 in words is "one hundred twelve thousand, three hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 367 734 1101 2202 3303 6239 6606 12478 18717 37434 56151 112302