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1085212169 is a prime number
BaseRepresentation
bin100000010101111…
…0000011000001001
32210122000111020022
41000223300120021
54210303242134
6255403510225
735615102606
oct10053603011
92718014208
101085212169
11507634a68
12263528375
13143aa3aa2
14a41ad6ad
156541452e
hex40af0609

1085212169 has 2 divisors, whose sum is σ = 1085212170. Its totient is φ = 1085212168.

The previous prime is 1085212159. The next prime is 1085212171. The reversal of 1085212169 is 9612125801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 841696144 + 243516025 = 29012^2 + 15605^2 .

It is an emirp because it is prime and its reverse (9612125801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1085212169 - 216 = 1085146633 is a prime.

It is a super-2 number, since 2×10852121692 = 2355370903491369122, which contains 22 as substring.

Together with 1085212171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1085212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542606084 + 542606085.

It is an arithmetic number, because the mean of its divisors is an integer number (542606085).

Almost surely, 21085212169 is an apocalyptic number.

It is an amenable number.

1085212169 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085212169 is an equidigital number, since it uses as much as digits as its factorization.

1085212169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 1085212169 is about 32942.5586286190. The cubic root of 1085212169 is about 1027.6334169239.

The spelling of 1085212169 in words is "one billion, eighty-five million, two hundred twelve thousand, one hundred sixty-nine".