Search a number
-
+
11313302311200 = 2535229162547447
BaseRepresentation
bin1010010010100001010101…
…0111011001000100100000
31111001112121111020010112010
42210220111113121010200
52440324120342424300
640021132003232520
72245234114660251
oct244502527310440
944045544203463
1011313302311200
113671a4324352a
121328716078740
13640abc151406
142b17d1258b28
15149441ad3a50
hexa4a155d9120

11313302311200 has 144 divisors (see below), whose sum is σ = 38094619913280. Its totient is φ = 2912850232320.

The previous prime is 11313302311189. The next prime is 11313302311237. The reversal of 11313302311200 is 211320331311.

It is a happy number.

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, 81204124 + ... + 81343323.

It is an arithmetic number, because the mean of its divisors is an integer number (264545971620).

Almost surely, 211313302311200 is an apocalyptic number.

11313302311200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11313302311200 is an abundant number, since it is smaller than the sum of its proper divisors (26781317602080).

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

11313302311200 is a wasteful number, since it uses less digits than its factorization.

11313302311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162547499 (or 162547486 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11313302311200 its reverse (211320331311), we get a palindrome (11524622642511).

The spelling of 11313302311200 in words is "eleven trillion, three hundred thirteen billion, three hundred two million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1740 2175 2320 2400 2784 2900 3480 4350 4640 5800 6960 8700 11600 13920 17400 23200 34800 69600 162547447 325094894 487642341 650189788 812737235 975284682 1300379576 1625474470 1950569364 2438211705 2600759152 3250948940 3901138728 4063686175 4713875963 4876423410 5201518304 6501897880 7802277456 8127372350 9427751926 9752846820 12191058525 13003795760 14141627889 15604554912 16254744700 18855503852 19505693640 23569379815 24382117050 26007591520 28283255778 32509489400 37711007704 39011387280 47138759630 48764234100 56566511556 65018978800 70708139445 75422015408 78022774560 94277519260 97528468200 113133023112 117846899075 130037957600 141416278890 150844030816 188555038520 195056936400 226266046224 235693798150 282832557780 353540697225 377110077040 390113872800 452532092448 471387596300 565665115560 707081394450 754220154080 942775192600 1131330231120 1414162788900 1885550385200 2262660462240 2828325577800 3771100770400 5656651155600 11313302311200