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1112115024 = 243234922129
BaseRepresentation
bin100001001001001…
…1000011101010000
32212111122022000100
41002102120131100
54234200140044
6302204252400
736362551566
oct10222303520
92774568010
101112115024
1152083a529
12270541100
13149533137
14a79b3a36
156797a869
hex42498750

1112115024 has 60 divisors (see below), whose sum is σ = 3121436500. Its totient is φ = 369626112.

The previous prime is 1112115019. The next prime is 1112115029. The reversal of 1112115024 is 4205112111.

It is an interprime number because it is at equal distance from previous prime (1112115019) and next prime (1112115029).

It can be written as a sum of positive squares in 2 ways, for example, as 965220624 + 146894400 = 31068^2 + 12120^2 .

It is a super-4 number, since 4×11121150244 (a number of 37 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1112114988 and 1112115006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112115029) 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 11 ways as a sum of consecutive naturals, for example, 39192 + ... + 61320.

Almost surely, 21112115024 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 1112115024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560718250).

1112115024 is an abundant number, since it is smaller than the sum of its proper divisors (2009321476).

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

1112115024 is a wasteful number, since it uses less digits than its factorization.

1112115024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22492 (or 22483 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 1112115024 is about 33348.3886267388. The cubic root of 1112115024 is about 1036.0560138267.

Adding to 1112115024 its reverse (4205112111), we get a palindrome (5317227135).

The spelling of 1112115024 in words is "one billion, one hundred twelve million, one hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 349 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 12564 16752 22129 25128 44258 50256 66387 88516 132774 177032 199161 265548 354064 398322 531096 796644 1062192 1593288 3186576 7723021 15446042 23169063 30892084 46338126 61784168 69507189 92676252 123568336 139014378 185352504 278028756 370705008 556057512 1112115024