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2200123120200 = 2335235310387739
BaseRepresentation
bin100000000001000001100…
…011101001101001001000
321210022220100210200121220
4200001001203221221020
5242021323004321300
64402420030002040
7314645046650055
oct40010143515110
97708810720556
102200123120200
11779081165015
122b6494946320
1312c617230725
14786b506002c
153c36c171da0
hex200418e9a48

2200123120200 has 96 divisors (see below), whose sum is σ = 6839703525600. Its totient is φ = 585037404160.

The previous prime is 2200123120163. The next prime is 2200123120201. The reversal of 2200123120200 is 20213210022.

It is a happy number.

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 2200123120200.

It is not an unprimeable number, because it can be changed into a prime (2200123120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4982070 + ... + 5405669.

It is an arithmetic number, because the mean of its divisors is an integer number (71246911725).

Almost surely, 22200123120200 is an apocalyptic number.

2200123120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200123120200 is an abundant number, since it is smaller than the sum of its proper divisors (4639580405400).

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

2200123120200 is a wasteful number, since it uses less digits than its factorization.

2200123120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388111 (or 10388102 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2200123120200 its reverse (20213210022), we get a palindrome (2220336330222).

The spelling of 2200123120200 in words is "two trillion, two hundred billion, one hundred twenty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 353 600 706 1059 1412 1765 2118 2824 3530 4236 5295 7060 8472 8825 10590 14120 17650 21180 26475 35300 42360 52950 70600 105900 211800 10387739 20775478 31163217 41550956 51938695 62326434 83101912 103877390 124652868 155816085 207754780 249305736 259693475 311632170 415509560 519386950 623264340 779080425 1038773900 1246528680 1558160850 2077547800 3116321700 3666871867 6232643400 7333743734 11000615601 14667487468 18334359335 22001231202 29334974936 36668718670 44002462404 55003078005 73337437340 88004924808 91671796675 110006156010 146674874680 183343593350 220012312020 275015390025 366687186700 440024624040 550030780050 733374373400 1100061560100 2200123120200