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11100133225 = 52472194049
BaseRepresentation
bin10100101011001111…
…01001011101101001
31001122120212012012101
422111213221131221
5140213113230400
65033242213401
7542033401306
oct122547513551
931576765171
1011100133225
114786810425
1221994b4261
13107b8b698c
147742d80ad
1544e76d56a
hex2959e9769

11100133225 has 12 divisors (see below), whose sum is σ = 13767227100. Its totient is φ = 8878131200.

The previous prime is 11100133199. The next prime is 11100133259. The reversal of 11100133225 is 52233100111.

It can be written as a sum of positive squares in 6 ways, for example, as 305131024 + 10795002201 = 17468^2 + 103899^2 .

It is not a de Polignac number, because 11100133225 - 225 = 11066578793 is a prime.

It is a super-2 number, since 2×111001332252 (a number of 21 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 71001 + ... + 165049.

It is an arithmetic number, because the mean of its divisors is an integer number (1147268925).

Almost surely, 211100133225 is an apocalyptic number.

It is an amenable number.

11100133225 is a deficient number, since it is larger than the sum of its proper divisors (2667093875).

11100133225 is an equidigital number, since it uses as much as digits as its factorization.

11100133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98780 (or 98775 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 11100133225 its reverse (52233100111), we get a palindrome (63333233336).

The spelling of 11100133225 in words is "eleven billion, one hundred million, one hundred thirty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 4721 23605 94049 118025 470245 2351225 444005329 2220026645 11100133225