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2200002002001 = 32244444666889
BaseRepresentation
bin100000000000111010010…
…101100111110001010001
321210022120220220020200200
4200000322111213301101
5242021101003031001
64402400022005413
7314642046320556
oct40007225476121
97708526806620
102200002002001
1177901985a131
122b6460276869
1312c5c810485b
14786a2d32a2d
153c3616ea086
hex2003a567c51

2200002002001 has 6 divisors (see below), whose sum is σ = 3177780669570. Its totient is φ = 1466668001328.

The previous prime is 2200002001993. The next prime is 2200002002021. The reversal of 2200002002001 is 1002002000022.

It can be written as a sum of positive squares in only one way, i.e., 1755826405776 + 444175596225 = 1325076^2 + 666465^2 .

It is not a de Polignac number, because 2200002002001 - 23 = 2200002001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 244444666889 = 2200002002001 / (2 + 2 + 0 + 0 + 0 + 0 + 2 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2200002002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122222333436 + ... + 122222333453.

It is an arithmetic number, because the mean of its divisors is an integer number (529630111595).

Almost surely, 22200002002001 is an apocalyptic number.

It is an amenable number.

2200002002001 is a deficient number, since it is larger than the sum of its proper divisors (977778667569).

2200002002001 is a wasteful number, since it uses less digits than its factorization.

2200002002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244444666895 (or 244444666892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 2200002002001 its reverse (1002002000022), we get a palindrome (3202004002023).

The spelling of 2200002002001 in words is "two trillion, two hundred billion, two million, two thousand, one".

Divisors: 1 3 9 244444666889 733334000667 2200002002001