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1111300000 = 255511113
BaseRepresentation
bin100001000111101…
…0001011110100000
32212110002220000021
41002033101132200
54233443100000
6302135003224
736352615456
oct10217213640
92773086007
101111300000
11520333158
12270209514
13149309185
14a78409d6
156786911a
hex423d17a0

1111300000 has 72 divisors (see below), whose sum is σ = 2734910892. Its totient is φ = 444480000.

The previous prime is 1111299991. The next prime is 1111300009. The reversal of 1111300000 is 31111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111299991) and next prime (1111300009).

It can be written as a sum of positive squares in 6 ways, for example, as 476461584 + 634838416 = 21828^2 + 25196^2 .

It is not an unprimeable number, because it can be changed into a prime (1111300009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94444 + ... + 105556.

Almost surely, 21111300000 is an apocalyptic number.

1111300000 is a gapful number since it is divisible by the number (10) 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 1111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367455446).

1111300000 is an abundant number, since it is smaller than the sum of its proper divisors (1623610892).

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

1111300000 is an frugal number, since it uses more digits than its factorization.

1111300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1111300000 is about 33336.1665462602. The cubic root of 1111300000 is about 1035.8028574953.

Adding to 1111300000 its reverse (31111), we get a palindrome (1111331111).

The spelling of 1111300000 in words is "one billion, one hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 11113 12500 20000 22226 25000 44452 50000 55565 88904 100000 111130 177808 222260 277825 355616 444520 555650 889040 1111300 1389125 1778080 2222600 2778250 4445200 5556500 6945625 8890400 11113000 13891250 22226000 27782500 34728125 44452000 55565000 69456250 111130000 138912500 222260000 277825000 555650000 1111300000