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10202111209 is a prime number
BaseRepresentation
bin10011000000001011…
…11101110011101001
3222100000001221120201
421200011331303221
5131343220024314
64404202352201
7510550341313
oct114005756351
928300057521
1010202111209
11436590a174
121b887bb661
13c678336c4
146cad347b3
153ea9d2b74
hex26017dce9

10202111209 has 2 divisors, whose sum is σ = 10202111210. Its totient is φ = 10202111208.

The previous prime is 10202111203. The next prime is 10202111233. The reversal of 10202111209 is 90211120201.

It is a happy number.

10202111209 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., 5749885584 + 4452225625 = 75828^2 + 66725^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202111209 - 211 = 10202109161 is a prime.

It is a super-4 number, since 4×102021112094 (a number of 41 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (10202111203) 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, 5101055604 + 5101055605.

It is an arithmetic number, because the mean of its divisors is an integer number (5101055605).

Almost surely, 210202111209 is an apocalyptic number.

It is an amenable number.

10202111209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202111209 is an equidigital number, since it uses as much as digits as its factorization.

10202111209 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 19.

The spelling of 10202111209 in words is "ten billion, two hundred two million, one hundred eleven thousand, two hundred nine".