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11321023330320 = 2435115881729173
BaseRepresentation
bin1010010010111110000110…
…0100101111100000010000
31111002021112120200112121020
42210233201210233200100
52440440423433032240
640024450055355440
72245626340363134
oct244574144574020
944067476615536
1011321023330320
113675245593470
12132a10b982b80
1364174c945992
142b1d248613c4
151497448730d0
hexa4be192f810

11321023330320 has 160 divisors (see below), whose sum is σ = 38292205106304. Its totient is φ = 2744020070400.

The previous prime is 11321023330313. The next prime is 11321023330321. The reversal of 11321023330320 is 2303332012311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11321023330321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15161254 + ... + 15890426.

Almost surely, 211321023330320 is an apocalyptic number.

11321023330320 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 11321023330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19146102553152).

11321023330320 is an abundant number, since it is smaller than the sum of its proper divisors (26971181775984).

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

11321023330320 is a wasteful number, since it uses less digits than its factorization.

11321023330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735081 (or 735075 counting only the distinct ones).

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

Adding to 11321023330320 its reverse (2303332012311), we get a palindrome (13624355342631).

The spelling of 11321023330320 in words is "eleven trillion, three hundred twenty-one billion, twenty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5881 11762 17643 23524 29405 35286 47048 58810 64691 70572 88215 94096 117620 129382 141144 176430 194073 235240 258764 282288 323455 352860 388146 470480 517528 646910 705720 729173 776292 970365 1035056 1293820 1411440 1458346 1552584 1940730 2187519 2587640 2916692 3105168 3645865 3881460 4375038 5175280 5833384 7291730 7762920 8020903 8750076 10937595 11666768 14583460 15525840 16041806 17500152 21875190 24062709 29166920 32083612 35000304 40104515 43750380 48125418 58333840 64167224 80209030 87500760 96250836 120313545 128334448 160418060 175001520 192501672 240627090 320836120 385003344 481254180 641672240 962508360 1925016720 4288266413 8576532826 12864799239 17153065652 21441332065 25729598478 34306131304 42882664130 47170930543 51459196956 64323996195 68612262608 85765328260 94341861086 102918393912 128647992390 141512791629 171530656520 188683722172 205836787824 235854652715 257295984780 283025583258 343061313040 377367444344 471709305430 514591969560 566051166516 707563958145 754734888688 943418610860 1029183939120 1132102333032 1415127916290 1886837221720 2264204666064 2830255832580 3773674443440 5660511665160 11321023330320