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1130011303200 = 253521336218311
BaseRepresentation
bin10000011100011001111…
…011000001110100100000
311000000202102121221011220
4100130121323001310200
5122003230343200300
62223041531535040
7144432506411223
oct20343173016440
94000672557156
101130011303200
113a6264a1530a
121630065ba480
13827375ca150
143c99b2155ba
151e5da5adda0
hex10719ec1d20

1130011303200 has 144 divisors (see below), whose sum is σ = 3961124346816. Its totient is φ = 278156620800.

The previous prime is 1130011303063. The next prime is 1130011303217. The reversal of 1130011303200 is 23031100311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130011303200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18077956 + ... + 18140355.

It is an arithmetic number, because the mean of its divisors is an integer number (27507807964).

Almost surely, 21130011303200 is an apocalyptic number.

1130011303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130011303200 is an abundant number, since it is smaller than the sum of its proper divisors (2831113043616).

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

1130011303200 is a wasteful number, since it uses less digits than its factorization.

1130011303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36218347 (or 36218334 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1130011303200 its reverse (23031100311), we get a palindrome (1153042403511).

The spelling of 1130011303200 in words is "one trillion, one hundred thirty billion, eleven million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 36218311 72436622 108654933 144873244 181091555 217309866 289746488 362183110 434619732 470838043 543274665 579492976 724366220 869239464 905457775 941676086 1086549330 1158985952 1412514129 1448732440 1738478928 1810915550 1883352172 2173098660 2354190215 2716373325 2825028258 2897464880 3476957856 3621831100 3766704344 4346197320 4708380430 5432746650 5650056516 5794929760 7062570645 7243662200 7533408688 8692394640 9416760860 10865493300 11300113032 11770951075 14125141290 14487324400 15066817376 17384789280 18833521720 21730986600 22600226064 23541902150 28250282580 28974648800 35312853225 37667043440 43461973200 45200452128 47083804300 56500565160 70625706450 75334086880 86923946400 94167608600 113001130320 141251412900 188335217200 226002260640 282502825800 376670434400 565005651600 1130011303200