Search a number
-
+
2112032302020 = 2232535333239413
BaseRepresentation
bin11110101110111110111…
…011110110001111000100
321110220112011101110121100
4132232332323312033010
5234100420232131040
64254130530020100
7305406062234214
oct36567673661704
97426464343540
102112032302020
117447871a0543
122a13ab417630
13124218b08344
147431993a244
1539e13718b30
hex1ebbeef63c4

2112032302020 has 72 divisors (see below), whose sum is σ = 6424646895576. Its totient is φ = 561613105152.

The previous prime is 2112032301989. The next prime is 2112032302069. The reversal of 2112032302020 is 202032302112.

2112032302020 is a `hidden beast` number, since 21 + 120 + 323 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 370851768576 + 1741180533444 = 608976^2 + 1319538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112032301984 and 2112032302002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16556167 + ... + 16683246.

It is an arithmetic number, because the mean of its divisors is an integer number (89231206883).

Almost surely, 22112032302020 is an apocalyptic number.

2112032302020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112032302020 is an abundant number, since it is smaller than the sum of its proper divisors (4312614593556).

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

2112032302020 is a wasteful number, since it uses less digits than its factorization.

2112032302020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33239781 (or 33239776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2112032302020 its reverse (202032302112), we get a palindrome (2314064604132).

The spelling of 2112032302020 in words is "two trillion, one hundred twelve billion, thirty-two million, three hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 63540 33239413 66478826 99718239 132957652 166197065 199436478 299154717 332394130 398872956 498591195 598309434 664788260 997182390 1196618868 1495773585 1994364780 2991547170 5983094340 11733512789 23467025578 35200538367 46934051156 58667563945 70401076734 105601615101 117335127890 140802153468 176002691835 211203230202 234670255780 352005383670 422406460404 528008075505 704010767340 1056016151010 2112032302020