Search a number
-
+
11211222011000 = 2353112663382727
BaseRepresentation
bin1010001100100101000011…
…1001111100110001111000
31110200210010100010120212212
42203021100321330301320
52432141040313323000
635502210404154252
72234661350513504
oct243112071746170
943623110116785
1011211222011000
11363271a605070
121310987698988
136342a166070b
142aa8a9bd9304
15146969e23c35
hexa3250e7cc78

11211222011000 has 128 divisors (see below), whose sum is σ = 28630013967360. Its totient is φ = 4075266448000.

The previous prime is 11211222010991. The next prime is 11211222011089. The reversal of 11211222011000 is 11022211211.

It is a congruent number.

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, 29101637 + ... + 29484363.

It is an arithmetic number, because the mean of its divisors is an integer number (223671984120).

Almost surely, 211211222011000 is an apocalyptic number.

11211222011000 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 11211222011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315006983680).

11211222011000 is an abundant number, since it is smaller than the sum of its proper divisors (17418791956360).

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

11211222011000 is a wasteful number, since it uses less digits than its factorization.

11211222011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385422 (or 385408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11211222011000 its reverse (11022211211), we get a palindrome (11222244222211).

The spelling of 11211222011000 in words is "eleven trillion, two hundred eleven billion, two hundred twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2663 2750 5326 5500 10652 11000 13315 21304 26630 29293 53260 58586 66575 106520 117172 133150 146465 234344 266300 292930 332875 382727 532600 585860 665750 732325 765454 1171720 1331500 1464650 1530908 1913635 2663000 2929300 3061816 3661625 3827270 4209997 5858600 7323250 7654540 8419994 9568175 14646500 15309080 16839988 19136350 21049985 29293000 33679976 38272700 42099970 47840875 76545400 84199940 95681750 105249925 168399880 191363500 210499850 382727000 420999700 526249625 841999400 1019202001 1052499250 2038404002 2104998500 4076808004 4209997000 5096010005 8153616008 10192020010 11211222011 20384040020 22422444022 25480050025 40768080040 44844888044 50960100050 56056110055 89689776088 101920200100 112112220110 127400250125 203840400200 224224440220 254800500250 280280550275 448448880440 509601000500 560561100550 1019202001000 1121122201100 1401402751375 2242244402200 2802805502750 5605611005500 11211222011000