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2200001100201 = 32244444566689
BaseRepresentation
bin100000000000111010010…
…010001011100110101001
321210022120212012102122200
4200000322102023212221
5242021100240201301
64402355550410413
7314642035543452
oct40007222134651
97708525172580
102200001100201
117790192a3643
122b645bb00a09
1312c5c7b7a248
14786a2b7a129
153c3615bcc86
hex2003a48b9a9

2200001100201 has 6 divisors (see below), whose sum is σ = 3177779366970. Its totient is φ = 1466667400128.

The previous prime is 2200001100197. The next prime is 2200001100221. The reversal of 2200001100201 is 1020011000022.

It can be written as a sum of positive squares in only one way, i.e., 2171364338025 + 28636762176 = 1473555^2 + 169224^2 .

It is not a de Polignac number, because 2200001100201 - 22 = 2200001100197 is a prime.

It is a super-2 number, since 2×22000011002012 (a number of 25 digits) contains 22 as substring.

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: 244444566689 = 2200001100201 / (2 + 2 + 0 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (2200001100221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 122222283336 + ... + 122222283353.

It is an arithmetic number, because the mean of its divisors is an integer number (529629894495).

Almost surely, 22200001100201 is an apocalyptic number.

It is an amenable number.

2200001100201 is a deficient number, since it is larger than the sum of its proper divisors (977778266769).

2200001100201 is a wasteful number, since it uses less digits than its factorization.

2200001100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244444566695 (or 244444566692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200001100201 its reverse (1020011000022), we get a palindrome (3220012100223).

It can be divided in two parts, 220000 and 1100201, that added together give a square (1320201 = 11492).

The spelling of 2200001100201 in words is "two trillion, two hundred billion, one million, one hundred thousand, two hundred one".

Divisors: 1 3 9 244444566689 733333700067 2200001100201