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200211200011121 = 13101248896126553
BaseRepresentation
bin101101100001011101001101…
…011101001110101101110001
3222020220000002202201020222112
4231201131031131032231301
5202220230014200323441
61545451431110415105
760112532114636255
oct5541351535165561
9866800082636875
10200211200011121
1158880102a02692
121a556331961495
138793ab1a94a70
1437623b939c265
151822e459104eb
hexb6174d74eb71

200211200011121 has 16 divisors (see below), whose sum is σ = 217755618697680. Its totient is φ = 182973151411200.

The previous prime is 200211200011073. The next prime is 200211200011171. The reversal of 200211200011121 is 121110002112002.

It can be written as a sum of positive squares in 8 ways, for example, as 26322143121121 + 173889056890000 = 5130511^2 + 13186700^2 .

It is a cyclic number.

It is not a de Polignac number, because 200211200011121 - 210 = 200211200010097 is a prime.

It is a super-3 number, since 3×2002112000111213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200211200011096 and 200211200011105.

It is not an unprimeable number, because it can be changed into a prime (200211200011171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29615981 + ... + 35742533.

It is an arithmetic number, because the mean of its divisors is an integer number (13609726168605).

Almost surely, 2200211200011121 is an apocalyptic number.

It is an amenable number.

200211200011121 is a deficient number, since it is larger than the sum of its proper divisors (17544418686559).

200211200011121 is a wasteful number, since it uses less digits than its factorization.

200211200011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151556.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200211200011121 its reverse (121110002112002), we get a palindrome (321321202123123).

The spelling of 200211200011121 in words is "two hundred trillion, two hundred eleven billion, two hundred million, eleven thousand, one hundred twenty-one".

Divisors: 1 13 101 1313 24889 323557 2513789 6126553 32679257 79645189 618781853 8044164089 152483777617 1982289109021 15400861539317 200211200011121