Search a number
-
+
112012032 = 2831113259
BaseRepresentation
bin1101010110100…
…10101100000000
321210202210121210
412223102230000
5212133341112
615040450120
72530041456
oct653225400
9253683553
10112012032
1158256330
1231619940
131a28b112
1410c3a9d6
159c78b3c
hex6ad2b00

112012032 has 72 divisors (see below), whose sum is σ = 325241280. Its totient is φ = 33940480.

The previous prime is 112012009. The next prime is 112012037. The reversal of 112012032 is 230210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112011999 and 112012017.

It is not an unprimeable number, because it can be changed into a prime (112012037) 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 7 ways as a sum of consecutive naturals, for example, 1819 + ... + 15077.

It is an arithmetic number, because the mean of its divisors is an integer number (4517240).

Almost surely, 2112012032 is an apocalyptic number.

112012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162620640).

112012032 is an abundant number, since it is smaller than the sum of its proper divisors (213229248).

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

112012032 is a wasteful number, since it uses less digits than its factorization.

112012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13289 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 112012032 is about 10583.5736875594. The cubic root of 112012032 is about 482.0457134263.

Adding to 112012032 its reverse (230210211), we get a palindrome (342222243).

The spelling of 112012032 in words is "one hundred twelve million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 13259 26518 39777 53036 79554 106072 145849 159108 212144 291698 318216 424288 437547 583396 636432 848576 875094 1166792 1272864 1697152 1750188 2333584 2545728 3394304 3500376 4667168 5091456 7000752 9334336 10182912 14001504 18668672 28003008 37337344 56006016 112012032