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11001302320 = 2453143711453
BaseRepresentation
bin10100011111011101…
…01000110100110000
31001101200220001200111
422033232220310300
5140012313133240
65015352031104
7536423345461
oct121756506460
931350801614
1011001302320
114735a48298
122170392494
131064292358
1476512cd68
15445c4a1ea
hex28fba8d30

11001302320 has 160 divisors (see below), whose sum is σ = 27416530944. Its totient is φ = 4098124800.

The previous prime is 11001302251. The next prime is 11001302321. The reversal of 11001302320 is 2320310011.

11001302320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11001302320.

It is not an unprimeable number, because it can be changed into a prime (11001302321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7570714 + ... + 7572166.

Almost surely, 211001302320 is an apocalyptic number.

11001302320 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 11001302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708265472).

11001302320 is an abundant number, since it is smaller than the sum of its proper divisors (16415228624).

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

11001302320 is a wasteful number, since it uses less digits than its factorization.

11001302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 11001302320 its reverse (2320310011), we get a palindrome (13321612331).

The spelling of 11001302320 in words is "eleven billion, one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 43 62 71 80 86 124 142 155 172 215 248 284 310 344 355 430 496 568 620 688 710 860 1136 1240 1333 1420 1453 1720 2201 2480 2666 2840 2906 3053 3440 4402 5332 5680 5812 6106 6665 7265 8804 10664 11005 11624 12212 13330 14530 15265 17608 21328 22010 23248 24424 26660 29060 30530 35216 44020 45043 48848 53320 58120 61060 62479 88040 90086 94643 103163 106640 116240 122120 124958 176080 180172 189286 206326 225215 244240 249916 312395 360344 378572 412652 450430 473215 499832 515815 624790 720688 757144 825304 900860 946430 999664 1031630 1249580 1514288 1650608 1801720 1892860 1936849 2063260 2499160 3198053 3603440 3785720 3873698 4126520 4436009 4998320 6396106 7571440 7747396 8253040 8872018 9684245 12792212 15494792 15990265 17744036 19368490 22180045 25584424 30989584 31980530 35488072 38736980 44360090 51168848 63961060 70976144 77473960 88720180 127922120 137516279 154947920 177440360 255844240 275032558 354880720 550065116 687581395 1100130232 1375162790 2200260464 2750325580 5500651160 11001302320