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13120305 = 3511131607
BaseRepresentation
bin110010000011…
…001100110001
3220200120200020
4302003030301
511324322210
61145114053
7216343422
oct62031461
926616606
1013120305
117451530
124488929
132944bc3
141a57649
151242770
hexc83331

13120305 has 32 divisors (see below), whose sum is σ = 23113728. Its totient is φ = 6302400.

The previous prime is 13120301. The next prime is 13120321. The reversal of 13120305 is 50302131.

It is a happy number.

It is not a de Polignac number, because 13120305 - 22 = 13120301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13120301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21312 + ... + 21918.

It is an arithmetic number, because the mean of its divisors is an integer number (722304).

Almost surely, 213120305 is an apocalyptic number.

13120305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13120305 is a deficient number, since it is larger than the sum of its proper divisors (9993423).

13120305 is a wasteful number, since it uses less digits than its factorization.

13120305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13120305 is about 3622.1961570296. The cubic root of 13120305 is about 235.8565692192.

Adding to 13120305 its reverse (50302131), we get a palindrome (63422436).

The spelling of 13120305 in words is "thirteen million, one hundred twenty thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 131 165 393 607 655 1441 1821 1965 3035 4323 6677 7205 9105 20031 21615 33385 79517 100155 238551 397585 874687 1192755 2624061 4373435 13120305