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11330412300 = 22335210141549
BaseRepresentation
bin10101000110101100…
…00101111100001100
31002020122011120201000
422203112011330030
5141201041143200
65112150020300
7550530626004
oct124326057414
932218146630
1011330412300
1148947a4509
122242647690
1310b7512c9c
14796b1d004
15464aa9300
hex2a3585f0c

11330412300 has 144 divisors (see below), whose sum is σ = 36786708000. Its totient is φ = 2991456000.

The previous prime is 11330412299. The next prime is 11330412311. The reversal of 11330412300 is 321403311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251926 + ... + 293474.

It is an arithmetic number, because the mean of its divisors is an integer number (255463250).

Almost surely, 211330412300 is an apocalyptic number.

11330412300 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 11330412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393354000).

11330412300 is an abundant number, since it is smaller than the sum of its proper divisors (25456295700).

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

11330412300 is a wasteful number, since it uses less digits than its factorization.

11330412300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41673 (or 41660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11330412300 its reverse (321403311), we get a palindrome (11651815611).

The spelling of 11330412300 in words is "eleven billion, three hundred thirty million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 101 108 135 150 180 202 225 270 300 303 404 450 505 540 606 675 900 909 1010 1212 1350 1515 1818 2020 2525 2700 2727 3030 3636 4545 5050 5454 6060 7575 9090 10100 10908 13635 15150 18180 22725 27270 30300 41549 45450 54540 68175 83098 90900 124647 136350 166196 207745 249294 272700 373941 415490 498588 623235 747882 830980 1038725 1121823 1246470 1495764 1869705 2077450 2243646 2492940 3116175 3739410 4154900 4196449 4487292 5609115 6232350 7478820 8392898 9348525 11218230 12464700 12589347 16785796 18697050 20982245 22436460 25178694 28045575 37394100 37768041 41964490 50357388 56091150 62946735 75536082 83928980 104911225 112182300 113304123 125893470 151072164 188840205 209822450 226608246 251786940 314733675 377680410 419644900 453216492 566520615 629467350 755360820 944201025 1133041230 1258934700 1888402050 2266082460 2832603075 3776804100 5665206150 11330412300