Search a number
-
+
211122002001213 = 32171379882366021
BaseRepresentation
bin110000000000001110101011…
…111011101111110100111101
31000200112001210022120112202100
4300000032223323233310331
5210133010330003014323
62025004035255215313
762320030010431602
oct6000165373576475
91020461708515670
10211122002001213
11612a737a210536
121b818a37377539
1390a59475954a4
143a1c50635c6a9
151961b7b359943
hexc003abeefd3d

211122002001213 has 12 divisors (see below), whose sum is σ = 322892473649148. Its totient is φ = 132468707137920.

The previous prime is 211122002001193. The next prime is 211122002001223. The reversal of 211122002001213 is 312100200221112.

211122002001213 is a `hidden beast` number, since 21 + 11 + 220 + 0 + 200 + 1 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162412518109689 + 48709483891524 = 12744117^2 + 6979218^2 .

It is not a de Polignac number, because 211122002001213 - 224 = 211121985223997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122002001223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689941182858 + ... + 689941183163.

It is an arithmetic number, because the mean of its divisors is an integer number (26907706137429).

Almost surely, 2211122002001213 is an apocalyptic number.

It is an amenable number.

211122002001213 is a deficient number, since it is larger than the sum of its proper divisors (111770471647935).

211122002001213 is a wasteful number, since it uses less digits than its factorization.

211122002001213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379882366044 (or 1379882366041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211122002001213 its reverse (312100200221112), we get a palindrome (523222202222325).

The spelling of 211122002001213 in words is "two hundred eleven trillion, one hundred twenty-two billion, two million, one thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 1379882366021 4139647098063 12418941294189 23458000222357 70374000667071 211122002001213