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220120220122 = 211293113278387
BaseRepresentation
bin1100110100000000110…
…0000000000111011010
3210001011120000202202021
43031000030000013122
512101301234020442
6245042152125054
721621532666615
oct3150014000732
9701146022667
10220120220122
11853971423a0
12367b199678a
13179ac899c7a
14a92233d17c
155ad4a3ae67
hex33403001da

220120220122 has 64 divisors (see below), whose sum is σ = 384972963840. Its totient is φ = 93406622400.

The previous prime is 220120220101. The next prime is 220120220123. The reversal of 220120220122 is 221022021022.

It is a super-2 number, since 2×2201202201222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220120220096 and 220120220105.

It is not an unprimeable number, because it can be changed into a prime (220120220123) 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 31 ways as a sum of consecutive naturals, for example, 26241213 + ... + 26249599.

It is an arithmetic number, because the mean of its divisors is an integer number (6015202560).

Almost surely, 2220120220122 is an apocalyptic number.

220120220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220120220122 is a deficient number, since it is larger than the sum of its proper divisors (164852743718).

220120220122 is a wasteful number, since it uses less digits than its factorization.

220120220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220120220122 its reverse (221022021022), we get a palindrome (441142241144).

Subtracting 220120220122 from its reverse (221022021022), we obtain a square (901800900 = 300302).

The spelling of 220120220122 in words is "two hundred twenty billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 11 22 29 31 58 62 319 341 638 682 899 1327 1798 2654 8387 9889 14597 16774 19778 29194 38483 41137 76966 82274 92257 184514 243223 259997 423313 452507 486446 519994 846626 905014 1192973 2385946 2675453 2859967 5350906 5719934 7539913 11129549 13122703 15079826 22259098 26245406 82939043 122425039 165878086 244850078 322756921 345016019 645513842 690032038 3550326131 3795176209 7100652262 7590352418 10005464551 20010929102 110060110061 220120220122