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2112032113011 = 3579892934219
BaseRepresentation
bin11110101110111110111…
…011001000000101110011
321110220112011000212100000
4132232332323020011303
5234100420210104021
64254130522001043
7305406060516162
oct36567673100563
97426464025300
102112032113011
11744787081537
122a13ab346183
13124218a702c2
14743198cb3d9
1539e136ccb26
hex1ebbeec8173

2112032113011 has 96 divisors (see below), whose sum is σ = 3251574144000. Its totient is φ = 1369562059008.

The previous prime is 2112032113003. The next prime is 2112032113013. The reversal of 2112032113011 is 1103112302112.

2112032113011 is a `hidden beast` number, since 21 + 1 + 20 + 321 + 1 + 301 + 1 = 666.

It is not a de Polignac number, because 2112032113011 - 23 = 2112032113003 is a prime.

It is a super-2 number, since 2×21120321130112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112032113013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500598060 + ... + 500602278.

It is an arithmetic number, because the mean of its divisors is an integer number (33870564000).

Almost surely, 22112032113011 is an apocalyptic number.

2112032113011 is a deficient number, since it is larger than the sum of its proper divisors (1139542030989).

2112032113011 is an equidigital number, since it uses as much as digits as its factorization.

2112032113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2112032113011 its reverse (1103112302112), we get a palindrome (3215144415123).

The spelling of 2112032113011 in words is "two trillion, one hundred twelve billion, thirty-two million, one hundred thirteen thousand, eleven".

Divisors: 1 3 9 27 79 81 89 237 243 267 293 711 801 879 2133 2403 2637 4219 6399 7031 7209 7911 12657 19197 21093 21627 23147 23733 26077 37971 63279 69441 71199 78231 113913 189837 208323 234693 333301 341739 375491 569511 624969 704079 999903 1025217 1126473 1236167 1708533 1874907 2060083 2112237 2999709 3379419 3708501 5624721 6180249 6336711 8999127 10138257 11125503 18540747 26997381 29663789 30414771 33376509 55622241 80992143 88991367 91244313 97657193 100129527 110018863 166866723 266974101 292971579 300388581 330056589 500600169 800922303 878914737 990169767 2402766909 2636744211 2970509301 7208300727 7910232633 8691490177 8911527903 23730697899 26074470531 26734583709 78223411593 234670234779 704010704337 2112032113011