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11205103 = 713592087
BaseRepresentation
bin101010101111…
…100111101111
3210002021111211
4222233213233
510332030403
61040055251
7164145640
oct52574757
923067454
1011205103
116363618
123904527
132424250
1416b96c7
15eb506d
hexaaf9ef

11205103 has 16 divisors (see below), whose sum is σ = 14031360. Its totient is φ = 8711136.

The previous prime is 11205097. The next prime is 11205119. The reversal of 11205103 is 30150211.

11205103 = 1522 + 1532 + ... + 3332.

It is a de Polignac number, because none of the positive numbers 2k-11205103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 6412.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 211205103 is an apocalyptic number.

11205103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11205103 is a deficient number, since it is larger than the sum of its proper divisors (2826257).

11205103 is a wasteful number, since it uses less digits than its factorization.

11205103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 11205103 is about 3347.4024257624. The cubic root of 11205103 is about 223.7717634335.

Adding to 11205103 its reverse (30150211), we get a palindrome (41355314).

The spelling of 11205103 in words is "eleven million, two hundred five thousand, one hundred three".

Divisors: 1 7 13 59 91 413 767 2087 5369 14609 27131 123133 189917 861931 1600729 11205103