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11303031200 = 2552591012371
BaseRepresentation
bin10101000011011011…
…01001000110100000
31002011201122110220012
422201231221012200
5141122033444300
65105331104052
7550046115506
oct124155510640
932151573805
1011303031200
1148802a26aa
122235442028
1310b1947056
14793232676
1546249b435
hex2a1b691a0

11303031200 has 144 divisors (see below), whose sum is σ = 28350997920. Its totient is φ = 4398720000.

The previous prime is 11303031199. The next prime is 11303031209. The reversal of 11303031200 is 213030311.

It is not an unprimeable number, because it can be changed into a prime (11303031209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4766015 + ... + 4768385.

It is an arithmetic number, because the mean of its divisors is an integer number (196881930).

Almost surely, 211303031200 is an apocalyptic number.

11303031200 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 11303031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175498960).

11303031200 is an abundant number, since it is smaller than the sum of its proper divisors (17047966720).

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

11303031200 is a wasteful number, since it uses less digits than its factorization.

11303031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11303031200 its reverse (213030311), we get a palindrome (11516061511).

The spelling of 11303031200 in words is "eleven billion, three hundred three million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 101 118 160 200 202 236 295 400 404 472 505 590 800 808 944 1010 1180 1475 1616 1888 2020 2360 2371 2525 2950 3232 4040 4720 4742 5050 5900 5959 8080 9440 9484 10100 11800 11855 11918 16160 18968 20200 23600 23710 23836 29795 37936 40400 47200 47420 47672 59275 59590 75872 80800 94840 95344 118550 119180 139889 148975 189680 190688 237100 238360 239471 279778 297950 379360 474200 476720 478942 559556 595900 699445 948400 953440 957884 1119112 1191800 1197355 1398890 1896800 1915768 2238224 2383600 2394710 2797780 3497225 3831536 4476448 4767200 4789420 5595560 5986775 6994450 7663072 9578840 11191120 11973550 13988900 14128789 19157680 22382240 23947100 27977800 28257578 38315360 47894200 55955600 56515156 70643945 95788400 111911200 113030312 141287890 191576800 226060624 282575780 353219725 452121248 565151560 706439450 1130303120 1412878900 2260606240 2825757800 5651515600 11303031200