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211122101200212 = 22325864502811117
BaseRepresentation
bin110000000000001110110001…
…110110001010010101010100
31000200112002001020020101012100
4300000032301312022111110
5210133011030401401322
62025004053201322100
762320032323546526
oct6000166166122524
91020462036211170
10211122101200212
11612a7420205184
121b818a64636330
1390a5961cb8517
143a1c5155c1a16
151961b84e01dac
hexc003b1d8a554

211122101200212 has 18 divisors (see below), whose sum is σ = 533669755811738. Its totient is φ = 70374033733392.

The previous prime is 211122101200193. The next prime is 211122101200253. The reversal of 211122101200212 is 212002101221112.

211122101200212 is a `hidden beast` number, since 2 + 111 + 221 + 0 + 120 + 0 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 170203230070416 + 40918871129796 = 13046196^2 + 6396786^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2932251405523 + ... + 2932251405594.

Almost surely, 2211122101200212 is an apocalyptic number.

It is an amenable number.

211122101200212 is an abundant number, since it is smaller than the sum of its proper divisors (322547654611526).

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

211122101200212 is a wasteful number, since it uses less digits than its factorization.

211122101200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864502811127 (or 5864502811122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122101200212 its reverse (212002101221112), we get a palindrome (423124202421324).

The spelling of 211122101200212 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5864502811117 11729005622234 17593508433351 23458011244468 35187016866702 52780525300053 70374033733404 105561050600106 211122101200212