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11122210220200 = 23522319331250839
BaseRepresentation
bin1010000111011001011101…
…1000111010100010101000
31110101021100221202002221021
42201312113120322202220
52424211241304021300
635353250044422224
72225360511002362
oct241662730724250
943337327662837
1011122210220200
1135a89a27941a2
1212b7685847974
13628a874aa911
142a6464259d32
151444aa6e9d1a
hexa1d9763a8a8

11122210220200 has 96 divisors (see below), whose sum is σ = 26997430089600. Its totient is φ = 4253249468160.

The previous prime is 11122210220171. The next prime is 11122210220243. The reversal of 11122210220200 is 202201222111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8266381 + ... + 9517219.

It is an arithmetic number, because the mean of its divisors is an integer number (281223230100).

Almost surely, 211122210220200 is an apocalyptic number.

11122210220200 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 11122210220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498715044800).

11122210220200 is an abundant number, since it is smaller than the sum of its proper divisors (15875219869400).

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

11122210220200 is a wasteful number, since it uses less digits than its factorization.

11122210220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252811 (or 1252802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11122210220200 its reverse (202201222111), we get a palindrome (11324411442311).

The spelling of 11122210220200 in words is "eleven trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1933 2300 3866 4600 7732 9665 15464 19330 38660 44459 48325 77320 88918 96650 177836 193300 222295 355672 386600 444590 889180 1111475 1250839 1778360 2222950 2501678 4445900 5003356 6254195 8891800 10006712 12508390 25016780 28769297 31270975 50033560 57538594 62541950 115077188 125083900 143846485 230154376 250167800 287692970 575385940 719232425 1150771880 1438464850 2417871787 2876929700 4835743574 5753859400 9671487148 12089358935 19342974296 24178717870 48357435740 55611051101 60446794675 96714871480 111222102202 120893589350 222444204404 241787178700 278055255505 444888408808 483574357400 556110511010 1112221022020 1390276277525 2224442044040 2780552555050 5561105110100 11122210220200