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1113130304 = 261121311057
BaseRepresentation
bin100001001011001…
…0000010101000000
32212120112212201022
41002112100111000
54234430132204
6302242125012
736404310566
oct10226202500
92776485638
101113130304
11521373300
12270950768
131497ca2b0
14a7b99a36
1567acb5be
hex42590540

1113130304 has 84 divisors (see below), whose sum is σ = 2614929492. Its totient is φ = 467005440.

The previous prime is 1113130211. The next prime is 1113130307. The reversal of 1113130304 is 4030313111.

It can be written as a sum of positive squares in 2 ways, for example, as 186049600 + 927080704 = 13640^2 + 30448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113130307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95144 + ... + 106200.

It is an arithmetic number, because the mean of its divisors is an integer number (31130113).

Almost surely, 21113130304 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 1113130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307464746).

1113130304 is an abundant number, since it is smaller than the sum of its proper divisors (1501799188).

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

1113130304 is a wasteful number, since it uses less digits than its factorization.

1113130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1113130304 is about 33363.6074788084. The cubic root of 1113130304 is about 1036.3711991539.

Adding to 1113130304 its reverse (4030313111), we get a palindrome (5143443415).

The spelling of 1113130304 in words is "one billion, one hundred thirteen million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 11057 12584 22114 25168 44228 50336 88456 100672 121627 143741 176912 243254 287482 353824 486508 574964 707648 973016 1149928 1337897 1581151 1946032 2299856 2675794 3162302 3892064 4599712 5351588 6324604 7784128 9199424 10703176 12649208 17392661 21406352 25298416 34785322 42812704 50596832 69570644 85625408 101193664 139141288 278282576 556565152 1113130304