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11003106136625 = 53611937476841
BaseRepresentation
bin1010000000011101110000…
…1110111001001000110001
31102221212221101101202201122
42200013130032321020301
52420233330132333000
635222431314512025
72213643141000251
oct240073416711061
942855841352648
1011003106136625
113562433622379
121298585b95615
1361a785aba315
142a07a5cc9961
15141339216085
hexa01dc3b9231

11003106136625 has 32 divisors (see below), whose sum is σ = 14029307069856. Its totient is φ = 8613319680000.

The previous prime is 11003106136573. The next prime is 11003106136661. The reversal of 11003106136625 is 52663160130011.

It can be written as a sum of positive squares in 16 ways, for example, as 10979567212849 + 23538923776 = 3313543^2 + 153424^2 .

It is not a de Polignac number, because 11003106136625 - 238 = 10728228229681 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2266796 + ... + 5210045.

It is an arithmetic number, because the mean of its divisors is an integer number (438415845933).

Almost surely, 211003106136625 is an apocalyptic number.

It is an amenable number.

11003106136625 is a deficient number, since it is larger than the sum of its proper divisors (3026200933231).

11003106136625 is an equidigital number, since it uses as much as digits as its factorization.

11003106136625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7477110 (or 7477100 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

Adding to 11003106136625 its reverse (52663160130011), we get a palindrome (63666266266636).

The spelling of 11003106136625 in words is "eleven trillion, three billion, one hundred six million, one hundred thirty-six thousand, six hundred twenty-five".

Divisors: 1 5 25 61 125 193 305 965 1525 4825 7625 11773 24125 58865 294325 1471625 7476841 37384205 186921025 456087301 934605125 1443030313 2280436505 7215151565 11402182525 36075757825 57010912625 88024849093 180378789125 440124245465 2200621227325 11003106136625