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13123405 = 517181853
BaseRepresentation
bin110010000011…
…111101001101
3220200201221001
4302003331031
511324422110
61145140301
7216355441
oct62037515
926621831
1013123405
117453899
12448a691
132946439
141a58821
15124363a
hexc83f4d

13123405 has 16 divisors (see below), whose sum is σ = 16786224. Its totient is φ = 9815040.

The previous prime is 13123393. The next prime is 13123423. The reversal of 13123405 is 50432131.

It can be written as a sum of positive squares in 8 ways, for example, as 3407716 + 9715689 = 1846^2 + 3117^2 .

It is not a de Polignac number, because 13123405 - 223 = 4734797 is a prime.

It is a Duffinian number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 14959 + ... + 15811.

It is an arithmetic number, because the mean of its divisors is an integer number (1049139).

Almost surely, 213123405 is an apocalyptic number.

It is an amenable number.

13123405 is a deficient number, since it is larger than the sum of its proper divisors (3662819).

13123405 is a wasteful number, since it uses less digits than its factorization.

13123405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 13123405 is about 3622.6240489457. The cubic root of 13123405 is about 235.8751434263.

Adding to 13123405 its reverse (50432131), we get a palindrome (63555536).

The spelling of 13123405 in words is "thirteen million, one hundred twenty-three thousand, four hundred five".

Divisors: 1 5 17 85 181 853 905 3077 4265 14501 15385 72505 154393 771965 2624681 13123405