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11205916201 is a prime number
BaseRepresentation
bin10100110111110110…
…01011011000101001
31001220221220112011101
422123323023120221
5140422203304301
65051541401401
7544456500424
oct123373133051
931827815141
1011205916201
1148304a1777
122208a09261
1310977a375c
147843929bb
15458bb6701
hex29becb629

11205916201 has 2 divisors, whose sum is σ = 11205916202. Its totient is φ = 11205916200.

The previous prime is 11205916147. The next prime is 11205916207. The reversal of 11205916201 is 10261950211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5906076201 + 5299840000 = 76851^2 + 72800^2 .

It is a cyclic number.

It is not a de Polignac number, because 11205916201 - 215 = 11205883433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11205916201.

It is not a weakly prime, because it can be changed into another prime (11205916207) 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, 5602958100 + 5602958101.

It is an arithmetic number, because the mean of its divisors is an integer number (5602958101).

Almost surely, 211205916201 is an apocalyptic number.

It is an amenable number.

11205916201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11205916201 is an equidigital number, since it uses as much as digits as its factorization.

11205916201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 11205916201 in words is "eleven billion, two hundred five million, nine hundred sixteen thousand, two hundred one".