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2112302020 = 2251739715649
BaseRepresentation
bin111110111100111…
…0010101111000100
312110012200001122011
41331321302233010
513311222131040
6545333544004
7103226161633
oct17571625704
95405601564
102112302020
11994380854
124ab4a5004
1327880746a
1416076d51a
15c56973ea
hex7de72bc4

2112302020 has 48 divisors (see below), whose sum is σ = 4708897200. Its totient is φ = 793165824.

The previous prime is 2112301999. The next prime is 2112302047. The reversal of 2112302020 is 202032112.

It can be written as a sum of positive squares in 8 ways, for example, as 715716 + 2111586304 = 846^2 + 45952^2 .

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 15 ways as a sum of consecutive naturals, for example, 127156 + ... + 142804.

It is an arithmetic number, because the mean of its divisors is an integer number (98102025).

Almost surely, 22112302020 is an apocalyptic number.

2112302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354448600).

2112302020 is an abundant number, since it is smaller than the sum of its proper divisors (2596595180).

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

2112302020 is a wasteful number, since it uses less digits than its factorization.

2112302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072 (or 16070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2112302020 is about 45959.7869881922. The cubic root of 2112302020 is about 1283.0748868812.

Adding to 2112302020 its reverse (202032112), we get a palindrome (2314334132).

The spelling of 2112302020 in words is "two billion, one hundred twelve million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 397 794 1588 1985 3970 6749 7940 13498 15649 26996 31298 33745 62596 67490 78245 134980 156490 266033 312980 532066 1064132 1330165 2660330 5320660 6212653 12425306 24850612 31063265 62126530 105615101 124253060 211230202 422460404 528075505 1056151010 2112302020