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1113112224 = 25327278877
BaseRepresentation
bin100001001011000…
…1011111010100000
32212120111221220200
41002112023322200
54234424042344
6302241505200
736404204100
oct10226137240
92776457820
101113112224
11521360764
12270942200
131497c1cb3
14a7b93200
1567ac6069
hex4258bea0

1113112224 has 108 divisors (see below), whose sum is σ = 3682261674. Its totient is φ = 318028032.

The previous prime is 1113112193. The next prime is 1113112261. The reversal of 1113112224 is 4222113111.

It can be written as a sum of positive squares in only one way, i.e., 1002862224 + 110250000 = 31668^2 + 10500^2 .

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113112197 and 1113112206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25327 + ... + 53550.

Almost surely, 21113112224 is an apocalyptic number.

1113112224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1113112224 is an abundant number, since it is smaller than the sum of its proper divisors (2569149450).

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

1113112224 is a wasteful number, since it uses less digits than its factorization.

1113112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78907 (or 78889 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1113112224 is about 33363.3365237951. The cubic root of 1113112224 is about 1036.3655880430.

Adding to 1113112224 its reverse (4222113111), we get a palindrome (5335225335).

The spelling of 1113112224 in words is "one billion, one hundred thirteen million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 78877 157754 236631 315508 473262 552139 631016 709893 946524 1104278 1262032 1419786 1656417 1893048 2208556 2524064 2839572 3312834 3786096 3864973 4417112 4969251 5679144 6625668 7572192 7729946 8834224 9938502 11358288 11594919 13251336 15459892 17668448 19877004 22716576 23189838 26502672 30919784 34784757 39754008 46379676 53005344 61839568 69569514 79508016 92759352 123679136 139139028 159016032 185518704 278278056 371037408 556556112 1113112224