Search a number
-
+
1112500000 = 255889
BaseRepresentation
bin100001001001111…
…0110011100100000
32212112100212002201
41002103312130200
54234300000000
6302220422544
736366044143
oct10223663440
92775325081
101112500000
11520a82797
122706a7a54
13149639431
14a7a7405a
1567a0496a
hex424f6720

1112500000 has 108 divisors (see below), whose sum is σ = 2768553270. Its totient is φ = 440000000.

The previous prime is 1112499991. The next prime is 1112500003. The reversal of 1112500000 is 52111.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 988222096 + 124277904 = 31436^2 + 11148^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1112500000.

It is not an unprimeable number, because it can be changed into a prime (1112500003) 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 17 ways as a sum of consecutive naturals, for example, 12499956 + ... + 12500044.

Almost surely, 21112500000 is an apocalyptic number.

1112500000 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 1112500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384276635).

1112500000 is an abundant number, since it is smaller than the sum of its proper divisors (1656053270).

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

1112500000 is an frugal number, since it uses more digits than its factorization.

1112500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1112500000 is about 33354.1601603158. The cubic root of 1112500000 is about 1036.1755490296.

Adding to 1112500000 its reverse (52111), we get a palindrome (1112552111).

The spelling of 1112500000 in words is "one billion, one hundred twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3125 3560 4000 4450 5000 6250 7120 8900 10000 11125 12500 14240 15625 17800 20000 22250 25000 31250 35600 44500 50000 55625 62500 71200 78125 89000 100000 111250 125000 156250 178000 222500 250000 278125 312500 356000 390625 445000 500000 556250 625000 781250 890000 1112500 1250000 1390625 1562500 1780000 2225000 2500000 2781250 3125000 4450000 5562500 6250000 6953125 8900000 11125000 12500000 13906250 22250000 27812500 34765625 44500000 55625000 69531250 111250000 139062500 222500000 278125000 556250000 1112500000