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11220122310200 = 2352475472182139
BaseRepresentation
bin1010001101000110001101…
…1001111001011000111000
31110201122002121121122002222
42203101203121321120320
52432312302302411300
635510241504343212
72235425043016616
oct243214331713070
943648077548088
1011220122310200
113636477599641
121312650314b08
1363508c57344b
142ab0b1c9a6b6
15146cdb4a9785
hexa3463679638

11220122310200 has 96 divisors (see below), whose sum is σ = 26690539910400. Its totient is φ = 4384526240640.

The previous prime is 11220122310143. The next prime is 11220122310227. The reversal of 11220122310200 is 201322102211.

It is a super-2 number, since 2×112201223102002 (a number of 27 digits) contains 22 as substring.

It is a congruent 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, 4050731 + ... + 6232869.

It is an arithmetic number, because the mean of its divisors is an integer number (278026457400).

Almost surely, 211220122310200 is an apocalyptic number.

11220122310200 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 11220122310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345269955200).

11220122310200 is an abundant number, since it is smaller than the sum of its proper divisors (15470417600200).

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

11220122310200 is a wasteful number, since it uses less digits than its factorization.

11220122310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182749 (or 2182740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11220122310200 its reverse (201322102211), we get a palindrome (11421444412411).

The spelling of 11220122310200 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 547 940 1094 1175 1880 2188 2350 2735 4376 4700 5470 9400 10940 13675 21880 25709 27350 51418 54700 102836 109400 128545 205672 257090 514180 642725 1028360 1285450 2182139 2570900 4364278 5141800 8728556 10910695 17457112 21821390 43642780 54553475 87285560 102560533 109106950 205121066 218213900 410242132 436427800 512802665 820484264 1025605330 1193630033 2051210660 2387260066 2564013325 4102421320 4774520132 5128026650 5968150165 9549040264 10256053300 11936300330 20512106600 23872600660 29840750825 47745201320 56100611551 59681501650 112201223102 119363003300 224402446204 238726006600 280503057755 448804892408 561006115510 1122012231020 1402515288775 2244024462040 2805030577550 5610061155100 11220122310200