Search a number
-
+
200210102112222 = 23211122783450679
BaseRepresentation
bin101101100001011100001100…
…000001000100111111011110
3222020212220021020211012211100
4231201130030001010333132
5202220220242120042342
61545451130130533530
760112462653643656
oct5541341401047736
9866786236735740
10200210102112222
115887a69a1a2a24
121a5560861372a6
13879396849b547
143762313649366
151822dce341e4c
hexb6170c044fde

200210102112222 has 12 divisors (see below), whose sum is σ = 433788554576520. Its totient is φ = 66736700704068.

The previous prime is 200210102112217. The next prime is 200210102112247. The reversal of 200210102112222 is 222211201012002.

It is a happy number.

200210102112222 is a `hidden beast` number, since 20 + 0 + 210 + 1 + 0 + 211 + 2 + 222 = 666.

It is a super-3 number, since 3×2002101021122223 (a number of 44 digits) contains 333 as substring.

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: 11122783450679 = 200210102112222 / (2 + 0 + 0 + 2 + 1 + 0 + 1 + 0 + 2 + 1 + 1 + 2 + 2 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 200210102112195 and 200210102112204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561391725322 + ... + 5561391725357.

It is an arithmetic number, because the mean of its divisors is an integer number (36149046214710).

Almost surely, 2200210102112222 is an apocalyptic number.

200210102112222 is an abundant number, since it is smaller than the sum of its proper divisors (233578452464298).

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

200210102112222 is a wasteful number, since it uses less digits than its factorization.

200210102112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122783450687 (or 11122783450684 counting only the distinct ones).

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

Adding to 200210102112222 its reverse (222211201012002), we get a palindrome (422421303124224).

The spelling of 200210102112222 in words is "two hundred trillion, two hundred ten billion, one hundred two million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 11122783450679 22245566901358 33368350352037 66736700704074 100105051056111 200210102112222