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11000212022200 = 2352411987675133
BaseRepresentation
bin1010000000010010111110…
…1110101110001110111000
31102221121110200121112002111
42200010233232232032320
52420211413234202300
635221232211542104
72213511336302002
oct240045756561670
942847420545074
1011000212022200
113561188a03375
121297ab88ba934
1361a41432a48b
142a05ad7a7372
1514121a0da9ba
hexa012fbae3b8

11000212022200 has 96 divisors (see below), whose sum is σ = 26212509635760. Its totient is φ = 4290598886400.

The previous prime is 11000212022197. The next prime is 11000212022207. The reversal of 11000212022200 is 222021200011.

It is a happy number.

11000212022200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000212022207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15955834 + ... + 16630966.

Almost surely, 211000212022200 is an apocalyptic number.

11000212022200 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 11000212022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13106254817880).

11000212022200 is an abundant number, since it is smaller than the sum of its proper divisors (15212297613560).

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

11000212022200 is a wasteful number, since it uses less digits than its factorization.

11000212022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677177 (or 677168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11000212022200 its reverse (222021200011), we get a palindrome (11222233222211).

The spelling of 11000212022200 in words is "eleven trillion, two hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1987 2050 3974 4100 7948 8200 9935 15896 19870 39740 49675 79480 81467 99350 162934 198700 325868 397400 407335 651736 675133 814670 1350266 1629340 2036675 2700532 3258680 3375665 4073350 5401064 6751330 8146700 13502660 16293400 16878325 27005320 27680453 33756650 55360906 67513300 110721812 135026600 138402265 221443624 276804530 553609060 692011325 1107218120 1341489271 1384022650 2682978542 2768045300 5365957084 5536090600 6707446355 10731914168 13414892710 26829785420 33537231775 53659570840 55001060111 67074463550 110002120222 134148927100 220004240444 268297854200 275005300555 440008480888 550010601110 1100021202220 1375026502775 2200042404440 2750053005550 5500106011100 11000212022200