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10113332209 is a prime number
BaseRepresentation
bin10010110101100110…
…10011001111110001
3222002211000111200121
421122303103033301
5131203003112314
64351311450241
7505421622361
oct113263231761
928084014617
1010113332209
11431a7921a2
121b62b26981
13c5231b456
146bd2249a1
153e2ce7d24
hex25acd33f1

10113332209 has 2 divisors, whose sum is σ = 10113332210. Its totient is φ = 10113332208.

The previous prime is 10113332171. The next prime is 10113332233. The reversal of 10113332209 is 90223331101.

10113332209 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5344048609 + 4769283600 = 73103^2 + 69060^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113332209 - 223 = 10104943601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10113332269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056666104 + 5056666105.

It is an arithmetic number, because the mean of its divisors is an integer number (5056666105).

Almost surely, 210113332209 is an apocalyptic number.

It is an amenable number.

10113332209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113332209 is an equidigital number, since it uses as much as digits as its factorization.

10113332209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 10113332209 in words is "ten billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred nine".