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2200200113 is a prime number
BaseRepresentation
bin1000001100100100…
…0110001110110001
312200100001202011002
42003021012032301
514001222400423
61002153531345
7105344251406
oct20311061661
95610052132
102200200113
11a29a56a01
12514a13b55
13290aa1777
1416c2d02ad
15cd25b228
hex832463b1

2200200113 has 2 divisors, whose sum is σ = 2200200114. Its totient is φ = 2200200112.

The previous prime is 2200200103. The next prime is 2200200157. The reversal of 2200200113 is 3110020022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2157323809 + 42876304 = 46447^2 + 6548^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200200113 - 218 = 2199937969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200200094 and 2200200103.

It is not a weakly prime, because it can be changed into another prime (2200200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100100056 + 1100100057.

It is an arithmetic number, because the mean of its divisors is an integer number (1100100057).

Almost surely, 22200200113 is an apocalyptic number.

It is an amenable number.

2200200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200200113 is an equidigital number, since it uses as much as digits as its factorization.

2200200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2200200113 is about 46906.2907614746. The cubic root of 2200200113 is about 1300.6308797855.

Adding to 2200200113 its reverse (3110020022), we get a palindrome (5310220135).

The spelling of 2200200113 in words is "two billion, two hundred million, two hundred thousand, one hundred thirteen".