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220200211021122 = 23212233345056729
BaseRepresentation
bin110010000100010101011011…
…010110110111110101000010
31001212122221020022110020021200
4302010111123112313311002
5212330230013010133442
62100154325212402030
764244640335052363
oct6204253326676502
91055587208406250
10220200211021122
1164187426571902
1220844339176316
1395b3a38507647
143c53a65db3b6a
151a6cda5b7e34c
hexc8455b5b7d42

220200211021122 has 12 divisors (see below), whose sum is σ = 477100457212470. Its totient is φ = 73400070340368.

The previous prime is 220200211021121. The next prime is 220200211021187. The reversal of 220200211021122 is 221120112002022.

It is a happy number.

220200211021122 is a `hidden beast` number, since 2 + 20 + 200 + 211 + 0 + 211 + 22 = 666.

220200211021122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 175470318603441 + 44729892417681 = 13246521^2 + 6688041^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12233345056729 = 220200211021122 / (2 + 2 + 0 + 2 + 0 + 0 + 2 + 1 + 1 + 0 + 2 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 220200211021095 and 220200211021104.

It is not an unprimeable number, because it can be changed into a prime (220200211021121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6116672528347 + ... + 6116672528382.

Almost surely, 2220200211021122 is an apocalyptic number.

220200211021122 is an abundant number, since it is smaller than the sum of its proper divisors (256900246191348).

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

220200211021122 is a wasteful number, since it uses less digits than its factorization.

220200211021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233345056737 (or 12233345056734 counting only the distinct ones).

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

Adding to 220200211021122 its reverse (221120112002022), we get a palindrome (441320323023144).

The spelling of 220200211021122 in words is "two hundred twenty trillion, two hundred billion, two hundred eleven million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12233345056729 24466690113458 36700035170187 73400070340374 110100105510561 220200211021122