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11312322303300 = 22352761401912329
BaseRepresentation
bin1010010010011101101011…
…1100111101010101000100
31111001110002012011120102020
42210213122330331111010
52440320114002201200
640020450434243140
72245200615023334
oct244473274752504
944043065146366
1011312322303300
113671590035047
1213284a1a264b0
136409940c3b95
142b173b0330c4
151493d5a50ea0
hexa49daf3d544

11312322303300 has 144 divisors (see below), whose sum is σ = 32784142305600. Its totient is φ = 3011661363200.

The previous prime is 11312322303299. The next prime is 11312322303341. The reversal of 11312322303300 is 330322321311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 917531536 + ... + 917543864.

It is an arithmetic number, because the mean of its divisors is an integer number (227667654900).

Almost surely, 211312322303300 is an apocalyptic number.

11312322303300 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 11312322303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16392071152800).

11312322303300 is an abundant number, since it is smaller than the sum of its proper divisors (21471820002300).

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

11312322303300 is a wasteful number, since it uses less digits than its factorization.

11312322303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17126 (or 17119 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11312322303300 its reverse (330322321311), we get a palindrome (11642644624611).

The spelling of 11312322303300 in words is "eleven trillion, three hundred twelve billion, three hundred twenty-two million, three hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 761 1522 2283 3044 3805 4019 4566 7610 8038 9132 11415 12057 12329 15220 16076 19025 20095 22830 24114 24658 36987 38050 40190 45660 48228 49316 57075 60285 61645 73974 76100 80380 100475 114150 120570 123290 147948 184935 200950 228300 241140 246580 301425 308225 369870 401900 602850 616450 739740 924675 1205700 1232900 1849350 3058459 3698700 6116918 9175377 9382369 12233836 15292295 18350754 18764738 28147107 30584590 36701508 37529476 45876885 46911845 49550251 56294214 61169180 76461475 91753770 93823690 99100502 112588428 140735535 148650753 152922950 183507540 187647380 198201004 229384425 234559225 247751255 281471070 297301506 305845900 458768850 469118450 495502510 562942140 594603012 703677675 743253765 917537700 938236900 991005020 1238756275 1407355350 1486507530 2477512550 2814710700 2973015060 3716268825 4955025100 7432537650 14865075300 37707741011 75415482022 113123223033 150830964044 188538705055 226246446066 377077410110 452492892132 565616115165 754154820220 942693525275 1131232230330 1885387050550 2262464460660 2828080575825 3770774101100 5656161151650 11312322303300