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11220122200200 = 2335238948072503
BaseRepresentation
bin1010001101000110001101…
…1001011110100010001000
31110201122002121102001012220
42203101203121132202020
52432312302240401300
635510241502134040
72235425042051124
oct243214331364210
943648077361186
1011220122200200
113636477523a31
121312650281320
1363508c535364
142ab0b1c6c584
15146cdb486da0
hexa346365e888

11220122200200 has 96 divisors (see below), whose sum is σ = 34871794401600. Its totient is φ = 2984340924160.

The previous prime is 11220122200193. The next prime is 11220122200211. The reversal of 11220122200200 is 200222102211.

It is a super-2 number, since 2×112201222002002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220122200200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23802852 + ... + 24269651.

It is an arithmetic number, because the mean of its divisors is an integer number (363247858350).

Almost surely, 211220122200200 is an apocalyptic number.

11220122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122200200 is an abundant number, since it is smaller than the sum of its proper divisors (23651672201400).

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

11220122200200 is a wasteful number, since it uses less digits than its factorization.

11220122200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48072911 (or 48072902 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11220122200200 its reverse (200222102211), we get a palindrome (11420344302411).

The spelling of 11220122200200 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 389 600 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 9725 11670 15560 19450 23340 29175 38900 46680 58350 77800 116700 233400 48072503 96145006 144217509 192290012 240362515 288435018 384580024 480725030 576870036 721087545 961450060 1153740072 1201812575 1442175090 1922900120 2403625150 2884350180 3605437725 4807250300 5768700360 7210875450 9614500600 14421750900 18700203667 28843501800 37400407334 56100611001 74800814668 93501018335 112201222002 149601629336 187002036670 224402444004 280503055005 374004073340 448804888008 467505091675 561006110010 748008146680 935010183350 1122012220020 1402515275025 1870020366700 2244024440040 2805030550050 3740040733400 5610061100100 11220122200200