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11000022200177 is a prime number
BaseRepresentation
bin1010000000010010010001…
…1010100110111101110001
31102221120222110102120020012
42200010210122212331301
52420211021140401202
635221201311224305
72213503542655013
oct240044432467561
942846873376205
1011000022200177
1135610a084226a
121297a65218095
1361a3b3bc7a5a
142a05924b41b3
151412085e2152
hexa01246a6f71

11000022200177 has 2 divisors, whose sum is σ = 11000022200178. Its totient is φ = 11000022200176.

The previous prime is 11000022200149. The next prime is 11000022200243. The reversal of 11000022200177 is 77100222000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7008721465201 + 3991300734976 = 2647399^2 + 1997824^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000022200177 - 28 = 11000022199921 is a prime.

It is not a weakly prime, because it can be changed into another prime (11000022205177) 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, 5500011100088 + 5500011100089.

It is an arithmetic number, because the mean of its divisors is an integer number (5500011100089).

Almost surely, 211000022200177 is an apocalyptic number.

It is an amenable number.

11000022200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000022200177 is an equidigital number, since it uses as much as digits as its factorization.

11000022200177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 11000022200177 its reverse (77100222000011), we get a palindrome (88100244200188).

The spelling of 11000022200177 in words is "eleven trillion, twenty-two million, two hundred thousand, one hundred seventy-seven".