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11221133222200 = 23521123171462723
BaseRepresentation
bin1010001101001001111110…
…1010001110000100111000
31110201201201001211021200011
42203102133222032010320
52432321340101102300
635510530055551304
72235462066436126
oct243223752160470
943651631737604
1011221133222200
113636946195800
12131289298b534
136351c0b31325
142ab16a248916
15146d4a0e3eba
hexa349fa8e138

11221133222200 has 144 divisors (see below), whose sum is σ = 28766968718040. Its totient is φ = 4067537337600.

The previous prime is 11221133222183. The next prime is 11221133222287. The reversal of 11221133222200 is 222233112211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6940039 + ... + 8402761.

Almost surely, 211221133222200 is an apocalyptic number.

11221133222200 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 11221133222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383484359020).

11221133222200 is an abundant number, since it is smaller than the sum of its proper divisors (17545835495840).

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

11221133222200 is a wasteful number, since it uses less digits than its factorization.

11221133222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463078 (or 1463058 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11221133222200 its reverse (222233112211), we get a palindrome (11443366334411).

The spelling of 11221133222200 in words is "eleven trillion, two hundred twenty-one billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 317 440 484 550 605 634 968 1100 1210 1268 1585 2200 2420 2536 3025 3170 3487 4840 6050 6340 6974 7925 12100 12680 13948 15850 17435 24200 27896 31700 34870 38357 63400 69740 76714 87175 139480 153428 174350 191785 306856 348700 383570 697400 767140 958925 1462723 1534280 1917850 2925446 3835700 5850892 7313615 7671400 11701784 14627230 16089953 29254460 32179906 36568075 58508920 64359812 73136150 80449765 128719624 146272300 160899530 176989483 292544600 321799060 353978966 402248825 463683191 643598120 707957932 804497650 884947415 927366382 1415915864 1608995300 1769894830 1854732764 2318415955 3217990600 3539789660 3709465528 4424737075 4636831910 5100515101 7079579320 8849474150 9273663820 10201030202 11592079775 17698948300 18547327640 20402060404 23184159550 25502575505 35397896600 40804120808 46368319100 51005151010 56105666111 92736638200 102010302020 112211332222 127512877525 204020604040 224422664444 255025755050 280528330555 448845328888 510051510100 561056661110 1020103020200 1122113322220 1402641652775 2244226644440 2805283305550 5610566611100 11221133222200