Search a number
-
+
2200212211121 = 17194576651809
BaseRepresentation
bin100000000001000110110…
…111100000010110110001
321210100010120102222101122
4200001012313200112301
5242022013311223441
64402432531312025
7314650211135261
oct40010667402661
97710116388348
102200212211121
11779117485381
122b64ba74b615
1312c62c824952
14786c2c117a1
153c374dbe34b
hex20046de05b1

2200212211121 has 8 divisors (see below), whose sum is σ = 2329756541640. Its totient is φ = 2070681223168.

The previous prime is 2200212211111. The next prime is 2200212211177. The reversal of 2200212211121 is 1211122120022.

It can be written as a sum of positive squares in 4 ways, for example, as 540649913521 + 1659562297600 = 735289^2 + 1288240^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2200212211121 - 238 = 1925334304177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2200212211121.

It is not an unprimeable number, because it can be changed into a prime (2200212211111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2995136 + ... + 3656673.

It is an arithmetic number, because the mean of its divisors is an integer number (291219567705).

Almost surely, 22200212211121 is an apocalyptic number.

It is an amenable number.

2200212211121 is a deficient number, since it is larger than the sum of its proper divisors (129544330519).

2200212211121 is a wasteful number, since it uses less digits than its factorization.

2200212211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671283.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2200212211121 its reverse (1211122120022), we get a palindrome (3411334331143).

The spelling of 2200212211121 in words is "two trillion, two hundred billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 17 19457 330769 6651809 113080753 129424247713 2200212211121