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220200222220011 = 32114756946758281
BaseRepresentation
bin110010000100010101011100…
…000001100101111011101011
31001212122221021002112012021100
4302010111130001211323223
5212330230023342020021
62100154330252412443
764244640532204245
oct6204253401457353
91055587232465240
10220200222220011
1164187431920790
1220844340a77123
1395b3a3a928ac7
143c53a6768b095
151a6cda6b42626
hexc8455c065eeb

220200222220011 has 24 divisors (see below), whose sum is σ = 346989470059440. Its totient is φ = 133451871782400.

The previous prime is 220200222219983. The next prime is 220200222220021. The reversal of 220200222220011 is 110022222002022.

220200222220011 is a `hidden beast` number, since 2 + 20 + 200 + 222 + 220 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 220200222220011 - 25 = 220200222219979 is a prime.

It is a super-2 number, since 2×2202002222200112 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220200222220021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18669810 + ... + 28088471.

It is an arithmetic number, because the mean of its divisors is an integer number (14457894585810).

Almost surely, 2220200222220011 is an apocalyptic number.

220200222220011 is a deficient number, since it is larger than the sum of its proper divisors (126789247839429).

220200222220011 is a wasteful number, since it uses less digits than its factorization.

220200222220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46805867 (or 46805864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220200222220011 its reverse (110022222002022), we get a palindrome (330222444222033).

The spelling of 220200222220011 in words is "two hundred twenty trillion, two hundred billion, two hundred twenty-two million, two hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 99 47569 142707 428121 523259 1569777 4709331 46758281 140274843 420824529 514341091 1543023273 4629069819 2224244668889 6672734006667 20018202020001 24466691357779 73400074073337 220200222220011