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1112212000 = 25531012753
BaseRepresentation
bin100001001001011…
…0000001000100000
32212111211020001001
41002102300020200
54234211241000
6302210321344
736363434404
oct10222601040
92774736031
101112212000
115208a6379
12270589254
13149568313
14a79db104
156799946a
hex424b0220

1112212000 has 96 divisors (see below), whose sum is σ = 2760763824. Its totient is φ = 440320000.

The previous prime is 1112211979. The next prime is 1112212001. The reversal of 1112212000 is 2122111.

It can be written as a sum of positive squares in 8 ways, for example, as 496576656 + 615635344 = 22284^2 + 24812^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1112212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402624 + ... + 405376.

Almost surely, 21112212000 is an apocalyptic number.

1112212000 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 1112212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380381912).

1112212000 is an abundant number, since it is smaller than the sum of its proper divisors (1648551824).

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

1112212000 is a wasteful number, since it uses less digits than its factorization.

1112212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1112212000 is about 33349.8425783391. The cubic root of 1112212000 is about 1036.0861275126.

Adding to 1112212000 its reverse (2122111), we get a palindrome (1114334111).

The spelling of 1112212000 in words is "one billion, one hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 2753 3232 4000 4040 5050 5506 8080 10100 11012 12625 13765 16160 20200 22024 25250 27530 40400 44048 50500 55060 68825 80800 88096 101000 110120 137650 202000 220240 275300 278053 344125 404000 440480 550600 556106 688250 1101200 1112212 1376500 1390265 2202400 2224424 2753000 2780530 4448848 5506000 5561060 6951325 8897696 11012000 11122120 13902650 22244240 27805300 34756625 44488480 55610600 69513250 111221200 139026500 222442400 278053000 556106000 1112212000