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200002100002201 = 725098019008861
BaseRepresentation
bin101101011110011010011110…
…000111111111110110011001
3222020011000101020011020000201
4231132122132013333312121
5202203313300100032301
61545211410223502201
760061450325121100
oct5536323607776631
9866130336136021
10200002100002201
11587aa461453062
121a5218b6757961
13877a16a37aa33
1437562208b1037
15181c7a8607201
hexb5e69e1ffd99

200002100002201 has 12 divisors (see below), whose sum is σ = 233112587618340. Its totient is φ = 171093573036960.

The previous prime is 200002100002169. The next prime is 200002100002207. The reversal of 200002100002201 is 102200001200002.

It can be written as a sum of positive squares in 2 ways, for example, as 109246373505801 + 90755726496400 = 10452099^2 + 9526580^2 .

It is not a de Polignac number, because 200002100002201 - 25 = 200002100002169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200002100002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4009479490 + ... + 4009529371.

It is an arithmetic number, because the mean of its divisors is an integer number (19426048968195).

Almost surely, 2200002100002201 is an apocalyptic number.

It is an amenable number.

200002100002201 is a deficient number, since it is larger than the sum of its proper divisors (33110487616139).

200002100002201 is an equidigital number, since it uses as much as digits as its factorization.

200002100002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8019009384 (or 8019009377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200002100002201 its reverse (102200001200002), we get a palindrome (302202101202203).

The spelling of 200002100002201 in words is "two hundred trillion, two billion, one hundred million, two thousand, two hundred one".

Divisors: 1 7 49 509 3563 24941 8019008861 56133062027 392931434189 4081675510249 28571728571743 200002100002201