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11200102320 = 2435117159753
BaseRepresentation
bin10100110111001001…
…11111111110110000
31001220112222011000110
422123210333332300
5140414211233240
65051213021320
7544356204351
oct123344777660
931815864013
1011200102320
114828190710
122206a84840
1310965193a4
147836bbd28
15458418c80
hex29b93ffb0

11200102320 has 160 divisors (see below), whose sum is σ = 38410827264. Its totient is φ = 2676889600.

The previous prime is 11200102261. The next prime is 11200102343. The reversal of 11200102320 is 2320100211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11200102296 and 11200102305.

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, 157564 + ... + 217316.

Almost surely, 211200102320 is an apocalyptic number.

11200102320 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 11200102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205413632).

11200102320 is an abundant number, since it is smaller than the sum of its proper divisors (27210724944).

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

11200102320 is a wasteful number, since it uses less digits than its factorization.

11200102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59851 (or 59845 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11200102320 its reverse (2320100211), we get a palindrome (13520202531).

The spelling of 11200102320 in words is "eleven billion, two hundred million, one hundred two 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 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2130 2343 2640 2840 3124 3408 3905 4260 4686 5680 6248 7810 8520 9372 11715 12496 15620 17040 18744 23430 31240 37488 46860 59753 62480 93720 119506 179259 187440 239012 298765 358518 478024 597530 657283 717036 896295 956048 1195060 1314566 1434072 1792590 1971849 2390120 2629132 2868144 3286415 3585180 3943698 4242463 4780240 5258264 6572830 7170360 7887396 8484926 9859245 10516528 12727389 13145660 14340720 15774792 16969852 19718490 21212315 25454778 26291320 31549584 33939704 39436980 42424630 46667093 50909556 52582640 63636945 67879408 78873960 84849260 93334186 101819112 127273890 140001279 157747920 169698520 186668372 203638224 233335465 254547780 280002558 339397040 373336744 466670930 509095560 560005116 700006395 746673488 933341860 1018191120 1120010232 1400012790 1866683720 2240020464 2800025580 3733367440 5600051160 11200102320