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200210011001121 = 31119409378014711
BaseRepresentation
bin101101100001011100000110…
…100101100001000100100001
3222020212220000220101021220010
4231201130012211201010201
5202220220100304013441
61545451113114035133
760112460466342642
oct5541340645410441
9866786026337803
10200210011001121
115887a6528228a0
121a55605b718aa9
13879395264a954
1437623054cd6c9
151822dc6346116
hexb61706961121

200210011001121 has 32 divisors (see below), whose sum is σ = 306616541690880. Its totient is φ = 114925029595200.

The previous prime is 200210011001111. The next prime is 200210011001137. The reversal of 200210011001121 is 121100110012002.

It is not a de Polignac number, because 200210011001121 - 245 = 165025638912289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200210011001097 and 200210011001106.

It is not an unprimeable number, because it can be changed into a prime (200210011001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36441045 + ... + 41573666.

It is an arithmetic number, because the mean of its divisors is an integer number (9581766927840).

Almost surely, 2200210011001121 is an apocalyptic number.

It is an amenable number.

200210011001121 is a deficient number, since it is larger than the sum of its proper divisors (106406530689759).

200210011001121 is a wasteful number, since it uses less digits than its factorization.

200210011001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78018837.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200210011001121 its reverse (121100110012002), we get a palindrome (321310121013123).

The spelling of 200210011001121 in words is "two hundred trillion, two hundred ten billion, eleven million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 19 33 57 209 627 4093 12279 45023 77767 135069 233301 855437 2566311 78014711 234044133 858161821 1482279509 2574485463 4446838527 16305074599 48915223797 319314212123 957942636369 3512456333353 6066970030337 10537369000059 18200910091011 66736670333707 200210011001121