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1200113200 = 2452111320981
BaseRepresentation
bin100011110001000…
…0100011000110000
310002122020001211001
41013202010120300
54424212110300
6315030331344
741511536206
oct10742043060
93078201731
101200113200
115664838a0
12295ab9b54
13161833b70
14b555d076
157055e16a
hex47884630

1200113200 has 120 divisors (see below), whose sum is σ = 3387501936. Its totient is φ = 402816000.

The previous prime is 1200113191. The next prime is 1200113203. The reversal of 1200113200 is 23110021.

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 (1200113203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46710 + ... + 67690.

Almost surely, 21200113200 is an apocalyptic number.

1200113200 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 1200113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693750968).

1200113200 is an abundant number, since it is smaller than the sum of its proper divisors (2187388736).

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

1200113200 is a wasteful number, since it uses less digits than its factorization.

1200113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21023 (or 21012 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1200113200 is about 34642.6500141083. The cubic root of 1200113200 is about 1062.6919828403.

Adding to 1200113200 its reverse (23110021), we get a palindrome (1223223221).

The spelling of 1200113200 in words is "one billion, two hundred million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2600 2860 3575 4400 5200 5720 7150 11440 14300 20981 28600 41962 57200 83924 104905 167848 209810 230791 272753 335696 419620 461582 524525 545506 839240 923164 1049050 1091012 1153955 1363765 1678480 1846328 2098100 2182024 2307910 2727530 3000283 3692656 4196200 4364048 4615820 5455060 5769775 6000566 6818825 8392400 9231640 10910120 11539550 12001132 13637650 15001415 18463280 21820240 23079100 24002264 27275300 30002830 46158200 48004528 54550600 60005660 75007075 92316400 109101200 120011320 150014150 240022640 300028300 600056600 1200113200