Search a number
-
+
2112022120212 = 2232175333466789
BaseRepresentation
bin11110101110111110010…
…101000000011100010100
321110220111110020011210100
4132232332111000130110
5234100410130321322
64254125523454100
7305405606546514
oct36567625003424
97426443204710
102112022120212
11744781476824
122a13a7b27330
13124216981ac4
1474318449844
1539e128a6dac
hex1ebbe540714

2112022120212 has 36 divisors (see below), whose sum is σ = 5341768219060. Its totient is φ = 703605750912.

The previous prime is 2112022120207. The next prime is 2112022120231. The reversal of 2112022120212 is 2120212202112.

It is a happy number.

2112022120212 is a `hidden beast` number, since 211 + 2 + 0 + 221 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1082194961796 + 1029827158416 = 1040286^2 + 1014804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16670287 + ... + 16796502.

Almost surely, 22112022120212 is an apocalyptic number.

It is an amenable number.

2112022120212 is an abundant number, since it is smaller than the sum of its proper divisors (3229746098848).

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

2112022120212 is a wasteful number, since it uses less digits than its factorization.

2112022120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33468552 (or 33468547 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112022120212 its reverse (2120212202112), we get a palindrome (4232234322324).

The spelling of 2112022120212 in words is "two trillion, one hundred twelve billion, twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1753 3506 5259 7012 10518 15777 21036 31554 63108 33466789 66933578 100400367 133867156 200800734 301201101 401601468 602402202 1204804404 58667281117 117334562234 176001843351 234669124468 352003686702 528005530053 704007373404 1056011060106 2112022120212