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112011424 = 2571014951
BaseRepresentation
bin1101010110100…
…10100010100000
321210202202210021
412223102202200
5212133331144
615040443224
72530036630
oct653224240
9253682707
10112011424
1158255928
1231619514
131a28aa65
1410c3a6c0
159c78884
hex6ad28a0

112011424 has 48 divisors (see below), whose sum is σ = 254572416. Its totient is φ = 47520000.

The previous prime is 112011421. The next prime is 112011443. The reversal of 112011424 is 424110211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 112011398 and 112011407.

It is not an unprimeable number, because it can be changed into a prime (112011421) 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, 20149 + ... + 25099.

It is an arithmetic number, because the mean of its divisors is an integer number (5303592).

Almost surely, 2112011424 is an apocalyptic number.

112011424 is a gapful number since it is divisible by the number (14) 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 112011424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127286208).

112011424 is an abundant number, since it is smaller than the sum of its proper divisors (142560992).

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

112011424 is a wasteful number, since it uses less digits than its factorization.

112011424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 112011424 is about 10583.5449637633. The cubic root of 112011424 is about 482.0448412452.

Adding to 112011424 its reverse (424110211), we get a palindrome (536121635).

It can be divided in two parts, 1120 and 11424, that added together give a square (12544 = 1122).

The spelling of 112011424 in words is "one hundred twelve million, eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 112 202 224 404 707 808 1414 1616 2828 3232 4951 5656 9902 11312 19804 22624 34657 39608 69314 79216 138628 158432 277256 500051 554512 1000102 1109024 2000204 3500357 4000408 7000714 8000816 14001428 16001632 28002856 56005712 112011424