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11220122200 = 2352723348451
BaseRepresentation
bin10100111001100010…
…10111101001011000
31001221221122021010111
422130301113221120
5140434322402300
65053210054104
7545021315350
oct123461275130
931857567114
1011220122200
114838514971
12221171a334
13109a708881
1478620db60
1545a0709ba
hex29cc57a58

11220122200 has 96 divisors (see below), whose sum is σ = 31109794560. Its totient is φ = 3679632000.

The previous prime is 11220122189. The next prime is 11220122201. The reversal of 11220122200 is 222102211.

It is a happy number.

11220122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112201222002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220122201) 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 23 ways as a sum of consecutive naturals, for example, 142026 + ... + 206425.

It is an arithmetic number, because the mean of its divisors is an integer number (324060360).

Almost surely, 211220122200 is an apocalyptic number.

11220122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122200 is an abundant number, since it is smaller than the sum of its proper divisors (19889672360).

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

11220122200 is a wasteful number, since it uses less digits than its factorization.

11220122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348497 (or 348488 counting only the distinct ones).

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

Adding to 11220122200 its reverse (222102211), we get a palindrome (11442224411).

The spelling of 11220122200 in words is "eleven billion, two hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 32200 348451 696902 1393804 1742255 2439157 2787608 3484510 4878314 6969020 8014373 8711275 9756628 12195785 13938040 16028746 17422550 19513256 24391570 32057492 34845100 40071865 48783140 56100611 60978925 64114984 69690200 80143730 97566280 112201222 121957850 160287460 200359325 224402444 243915700 280503055 320574920 400718650 448804888 487831400 561006110 801437300 1122012220 1402515275 1602874600 2244024440 2805030550 5610061100 11220122200