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20110012002120 = 2335495133848401
BaseRepresentation
bin1001001001010001110100…
…00111110010111101001000
32122012111110022110020211210
410210220322013302331020
510113440301033031440
6110434224553053120
74143620562430635
oct444507207627510
978174408406753
1020110012002120
116453676565557
1223095563b71a0
13b2b49b123891
144d7488c8718c
1524d19304ea80
hex124a3a1f2f48

20110012002120 has 64 divisors (see below), whose sum is σ = 60342223213440. Its totient is φ = 5361586560000.

The previous prime is 20110012002071. The next prime is 20110012002167. The reversal of 20110012002120 is 2120021001102.

20110012002120 is digitally balanced in base 6, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 20110012002096 and 20110012002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16330081 + ... + 17518320.

It is an arithmetic number, because the mean of its divisors is an integer number (942847237710).

Almost surely, 220110012002120 is an apocalyptic number.

20110012002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110012002120 is an abundant number, since it is smaller than the sum of its proper divisors (40232211211320).

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

20110012002120 is a wasteful number, since it uses less digits than its factorization.

20110012002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33853366 (or 33853362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20110012002120 its reverse (2120021001102), we get a palindrome (22230033003222).

The spelling of 20110012002120 in words is "twenty trillion, one hundred ten billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4951 9902 14853 19804 24755 29706 39608 49510 59412 74265 99020 118824 148530 198040 297060 594120 33848401 67696802 101545203 135393604 169242005 203090406 270787208 338484010 406180812 507726015 676968020 812361624 1015452030 1353936040 2030904060 4061808120 167583433351 335166866702 502750300053 670333733404 837917166755 1005500600106 1340667466808 1675834333510 2011001200212 2513751500265 3351668667020 4022002400424 5027503000530 6703337334040 10055006001060 20110012002120