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200201020101121 = 1353796333648833
BaseRepresentation
bin101101100001010011101110…
…101011111101001000000001
3222020212000211022102020201211
4231201103232223331020001
5202220043142121213441
61545443025015530121
760112021624062334
oct5541235653751001
9866760738366654
10200201020101121
1158876859687626
121a554370689941
138792b4ba35690
143761ad13a661b
151822a4bd65a81
hexb614eeafd201

200201020101121 has 16 divisors (see below), whose sum is σ = 219671862547536. Its totient is φ = 181311804850176.

The previous prime is 200201020101119. The next prime is 200201020101169. The reversal of 200201020101121 is 121101020102002.

200201020101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1977710628721 + 198223309472400 = 1406311^2 + 14079180^2 .

It is not a de Polignac number, because 200201020101121 - 21 = 200201020101119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200201020101101) 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, 53042721 + ... + 56691553.

It is an arithmetic number, because the mean of its divisors is an integer number (13729491409221).

Almost surely, 2200201020101121 is an apocalyptic number.

It is an amenable number.

200201020101121 is a deficient number, since it is larger than the sum of its proper divisors (19470842446415).

200201020101121 is a wasteful number, since it uses less digits than its factorization.

200201020101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728532.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200201020101121 its reverse (121101020102002), we get a palindrome (321302040203123).

The spelling of 200201020101121 in words is "two hundred trillion, two hundred one billion, twenty million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 13 53 689 79633 1035229 3648833 4220549 47434829 54867137 193388149 2514045937 290567518289 3777377737757 15400078469317 200201020101121