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112112424 = 2335101571
BaseRepresentation
bin1101010111010…
…11001100101000
321210221220100000
412223223030220
5212200044144
615042543000
72530640244
oct653531450
9253856300
10112112424
11583147a6
1231667a60
131a2c4a18
1410c65424
159c98769
hex6aeb328

112112424 has 96 divisors (see below), whose sum is σ = 318558240. Its totient is φ = 36936000.

The previous prime is 112112423. The next prime is 112112453. The reversal of 112112424 is 424211211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112112397 and 112112406.

It is not an unprimeable number, because it can be changed into a prime (112112423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196059 + ... + 196629.

It is an arithmetic number, because the mean of its divisors is an integer number (3318315).

Almost surely, 2112112424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159279120).

112112424 is an abundant number, since it is smaller than the sum of its proper divisors (206445816).

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

112112424 is a wasteful number, since it uses less digits than its factorization.

112112424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112112424 is about 10588.3154467554. The cubic root of 112112424 is about 482.1896833251.

Adding to 112112424 its reverse (424211211), we get a palindrome (536323635).

The spelling of 112112424 in words is "one hundred twelve million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 243 303 324 404 486 571 606 648 808 909 972 1142 1212 1713 1818 1944 2284 2424 2727 3426 3636 4568 5139 5454 6852 7272 8181 10278 10908 13704 15417 16362 20556 21816 24543 30834 32724 41112 46251 49086 57671 61668 65448 92502 98172 115342 123336 138753 173013 185004 196344 230684 277506 346026 370008 461368 519039 555012 692052 1038078 1110024 1384104 1557117 2076156 3114234 4152312 4671351 6228468 9342702 12456936 14014053 18685404 28028106 37370808 56056212 112112424