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12320113 = 1319311609
BaseRepresentation
bin101110111111…
…110101110001
3212011221000111
4232333311301
511123220423
61120021321
7206501461
oct56776561
925157014
1012320113
116a55313
124161841
132724910
1418c9ba1
15113560d
hexbbfd71

12320113 has 16 divisors (see below), whose sum is σ = 14425600. Its totient is φ = 10419840.

The previous prime is 12320093. The next prime is 12320117. The reversal of 12320113 is 31102321.

It is a cyclic number.

It is not a de Polignac number, because 12320113 - 217 = 12189041 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12320093 and 12320102.

It is not an unprimeable number, because it can be changed into a prime (12320117) 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, 6853 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (901600).

Almost surely, 212320113 is an apocalyptic number.

12320113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12320113 is a deficient number, since it is larger than the sum of its proper divisors (2105487).

12320113 is a wasteful number, since it uses less digits than its factorization.

12320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 12320113 is about 3510.0018518514. The cubic root of 12320113 is about 230.9607761841.

Subtracting from 12320113 its sum of digits (13), we obtain a square (12320100 = 35102).

Adding to 12320113 its reverse (31102321), we get a palindrome (43422434).

It can be divided in two parts, 123201 and 13, that multiplied together give a cube (1601613 = 1173).

The spelling of 12320113 in words is "twelve million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 19 31 247 403 589 1609 7657 20917 30571 49879 397423 648427 947701 12320113