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11220110200 = 23521310142727
BaseRepresentation
bin10100111001100010…
…10100101101111000
31001221221121122200001
422130301110231320
5140434322011300
65053205522344
7545021235355
oct123461245570
931857548601
1011220110200
114838506952
1222117133b4
13109a703280
1478620962c
1545a06c16a
hex29cc54b78

11220110200 has 96 divisors (see below), whose sum is σ = 28372246560. Its totient is φ = 4101696000.

The previous prime is 11220110159. The next prime is 11220110207. The reversal of 11220110200 is 201102211.

11220110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220110207) 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, 241237 + ... + 283963.

It is an arithmetic number, because the mean of its divisors is an integer number (295544235).

Almost surely, 211220110200 is an apocalyptic number.

11220110200 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 11220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186123280).

11220110200 is an abundant number, since it is smaller than the sum of its proper divisors (17152136360).

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

11220110200 is a wasteful number, since it uses less digits than its factorization.

11220110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42857 (or 42848 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11220110200 its reverse (201102211), we get a palindrome (11421212411).

The spelling of 11220110200 in words is "eleven billion, two hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 101 104 130 200 202 260 325 404 505 520 650 808 1010 1300 1313 2020 2525 2600 2626 4040 5050 5252 6565 10100 10504 13130 20200 26260 32825 42727 52520 65650 85454 131300 170908 213635 262600 341816 427270 555451 854540 1068175 1110902 1709080 2136350 2221804 2777255 4272700 4315427 4443608 5554510 8545400 8630854 11109020 13886275 17261708 21577135 22218040 27772550 34523416 43154270 55545100 56100551 86308540 107885675 111090200 112201102 172617080 215771350 224402204 280502755 431542700 448804408 561005510 863085400 1122011020 1402513775 2244022040 2805027550 5610055100 11220110200