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11003297825 = 52132712461
BaseRepresentation
bin10100011111101100…
…10000000000100001
31001101211122110000002
422033312100000201
5140013321012300
65015502505345
7536446326332
oct121766200041
931354573002
1011003297825
114737090573
122170b95255
131064810720
147654cc289
15445ee15d5
hex28fd90021

11003297825 has 36 divisors (see below), whose sum is σ = 14780046204. Its totient is φ = 8077968000.

The previous prime is 11003297777. The next prime is 11003297831. The reversal of 11003297825 is 52879230011.

It can be written as a sum of positive squares in 6 ways, for example, as 1903664161 + 9099633664 = 43631^2 + 95392^2 .

It is not a de Polignac number, because 11003297825 - 214 = 11003281441 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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23868095 + ... + 23868555.

It is an arithmetic number, because the mean of its divisors is an integer number (410556839).

Almost surely, 211003297825 is an apocalyptic number.

It is an amenable number.

11003297825 is a deficient number, since it is larger than the sum of its proper divisors (3776748379).

11003297825 is an equidigital number, since it uses as much as digits as its factorization.

11003297825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 11003297825 in words is "eleven billion, three million, two hundred ninety-seven thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 271 325 461 1355 2305 3523 5993 6775 11525 17615 29965 73441 88075 124931 149825 367205 624655 954733 1624103 1836025 3123275 4773665 8120515 23868325 33856301 40602575 169281505 440131913 846407525 2200659565 11003297825