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200002221101001 = 311171016075815163
BaseRepresentation
bin101101011110011010100101…
…010101111100111111001001
3222020011000200200000200100110
4231132122211111330333021
5202203314022100213001
61545211430231224533
760061453325336604
oct5536324525747711
9866130620020313
10200002221101001
11587aa513845410
121a52192b218149
13877a18949ab27
1437562329d533b
15181c7b40783d6
hexb5e6a557cfc9

200002221101001 has 64 divisors (see below), whose sum is σ = 311587093979136. Its totient is φ = 112767621504000.

The previous prime is 200002221100931. The next prime is 200002221101101. The reversal of 200002221101001 is 100101122200002.

It is not a de Polignac number, because 200002221101001 - 218 = 200002220838857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200002221101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31485646 + ... + 37300808.

It is an arithmetic number, because the mean of its divisors is an integer number (4868548343424).

Almost surely, 2200002221101001 is an apocalyptic number.

It is an amenable number.

200002221101001 is a deficient number, since it is larger than the sum of its proper divisors (111584872878135).

200002221101001 is a wasteful number, since it uses less digits than its factorization.

200002221101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815902.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200002221101001 its reverse (100101122200002), we get a palindrome (300103343301003).

The spelling of 200002221101001 in words is "two hundred trillion, two billion, two hundred twenty-one million, one hundred one thousand, one".

Divisors: 1 3 11 17 33 51 101 187 303 561 607 1111 1717 1821 3333 5151 6677 10319 18887 20031 30957 56661 61307 113509 183921 340527 674377 1042219 2023131 3126657 5815163 11464409 17445489 34393227 63966793 98857771 191900379 296573313 587331463 1087435481 1761994389 3262306443 3529803941 6460646093 9984634871 10589411823 19381938279 29953904613 38827843351 60006666997 109830983581 116483530053 180020000991 329492950743 356510198041 660073336967 1069530594123 1980220010901 3921612178451 6060673366697 11764836535353 18182020100091 66667407033667 200002221101001