Search a number
-
+
10000202209 is a prime number
BaseRepresentation
bin10010101000000111…
…01111100111100001
3221210221010220111121
421110003233213201
5130440022432314
64332151012241
7502546213324
oct112403574741
927727126447
1010000202209
114271942a28
121b3106a081
13c34a5b51a
146ac1b67bb
153d7decd24
hex2540ef9e1

10000202209 has 2 divisors, whose sum is σ = 10000202210. Its totient is φ = 10000202208.

The previous prime is 10000202197. The next prime is 10000202231. The reversal of 10000202209 is 90220200001.

It is a happy number.

10000202209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5149497600 + 4850704609 = 71760^2 + 69647^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000202209 - 27 = 10000202081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000202192 and 10000202201.

It is not a weakly prime, because it can be changed into another prime (10000202279) 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 as a sum of consecutive naturals, namely, 5000101104 + 5000101105.

It is an arithmetic number, because the mean of its divisors is an integer number (5000101105).

Almost surely, 210000202209 is an apocalyptic number.

It is an amenable number.

10000202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000202209 is an equidigital number, since it uses as much as digits as its factorization.

10000202209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 10000202209 in words is "ten billion, two hundred two thousand, two hundred nine".