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11143205445320 = 23513471273590089
BaseRepresentation
bin1010001000100111101011…
…0011010101111011001000
31110110021120010222001101122
42202021322303111323020
52430032241043222240
635411041245134412
72230033006322264
oct242117263257310
943407503861348
1011143205445320
113606896a75613
1212bb764b5a408
1362aa52110250
142a74967a90a4
15144cd8a024b5
hexa227acd5ec8

11143205445320 has 128 divisors (see below), whose sum is σ = 27792466329600. Its totient is φ = 3995164809216.

The previous prime is 11143205445311. The next prime is 11143205445373. The reversal of 11143205445320 is 2354450234111.

11143205445320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308836 + ... + 4898924.

It is an arithmetic number, because the mean of its divisors is an integer number (217128643200).

Almost surely, 211143205445320 is an apocalyptic number.

11143205445320 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 11143205445320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896233164800).

11143205445320 is an abundant number, since it is smaller than the sum of its proper divisors (16649260884280).

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

11143205445320 is a wasteful number, since it uses less digits than its factorization.

11143205445320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590287 (or 3590283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 11143205445320 its reverse (2354450234111), we get a palindrome (13497655679431).

The spelling of 11143205445320 in words is "eleven trillion, one hundred forty-three billion, two hundred five million, four hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 127 130 188 235 254 260 376 470 508 520 611 635 940 1016 1222 1270 1651 1880 2444 2540 3055 3302 4888 5080 5969 6110 6604 8255 11938 12220 13208 16510 23876 24440 29845 33020 47752 59690 66040 77597 119380 155194 238760 310388 387985 620776 775970 1551940 3103880 3590089 7180178 14360356 17950445 28720712 35900890 46671157 71801780 93342314 143603560 168734183 186684628 233355785 337468366 373369256 455941303 466711570 674936732 843670915 911882606 933423140 1349873464 1687341830 1823765212 1866846280 2193544379 2279706515 3374683660 3647530424 4387088758 4559413030 5927236939 6749367320 8774177516 9118826060 10967721895 11854473878 17548355032 18237652120 21429241241 21935443790 23708947756 29636184695 42858482482 43870887580 47417895512 59272369390 85716964964 87741775160 107146206205 118544738780 171433929928 214292412410 237089477560 278580136133 428584824820 557160272266 857169649640 1114320544532 1392900680665 2228641089064 2785801361330 5571602722660 11143205445320