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11023030320 = 2435471815399
BaseRepresentation
bin10100100010000011…
…00001100000110000
31001110012202221220020
422101001201200300
5140033343432240
65021445443440
7540106132431
oct122101414060
931405687806
1011023030320
114747238915
122177710580
13106892c163
14767d87488
15447add0d0
hex291061830

11023030320 has 160 divisors (see below), whose sum is σ = 35097753600. Its totient is φ = 2860508160.

The previous prime is 11023030283. The next prime is 11023030327. The reversal of 11023030320 is 2303032011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11023030320.

It is not an unprimeable number, because it can be changed into a prime (11023030327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2038981 + ... + 2044379.

It is an arithmetic number, because the mean of its divisors is an integer number (219360960).

Almost surely, 211023030320 is an apocalyptic number.

11023030320 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 11023030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548876800).

11023030320 is an abundant number, since it is smaller than the sum of its proper divisors (24074723280).

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

11023030320 is a wasteful number, since it uses less digits than its factorization.

11023030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11023030320 its reverse (2303032011), we get a palindrome (13326062331).

The spelling of 11023030320 in words is "eleven billion, twenty-three million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 181 188 235 240 282 362 376 470 543 564 705 724 752 905 940 1086 1128 1410 1448 1810 1880 2172 2256 2715 2820 2896 3620 3760 4344 5399 5430 5640 7240 8507 8688 10798 10860 11280 14480 16197 17014 21596 21720 25521 26995 32394 34028 42535 43192 43440 51042 53990 64788 68056 80985 85070 86384 102084 107980 127605 129576 136112 161970 170140 204168 215960 253753 255210 259152 323940 340280 408336 431920 507506 510420 647880 680560 761259 977219 1015012 1020840 1268765 1295760 1522518 1954438 2030024 2041680 2537530 2931657 3045036 3806295 3908876 4060048 4886095 5075060 5863314 6090072 7612590 7817752 9772190 10150120 11726628 12180144 14658285 15225180 15635504 19544380 20300240 23453256 29316570 30450360 39088760 45929293 46906512 58633140 60900720 78177520 91858586 117266280 137787879 183717172 229646465 234532560 275575758 367434344 459292930 551151516 688939395 734868688 918585860 1102303032 1377878790 1837171720 2204606064 2755757580 3674343440 5511515160 11023030320