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12105401 = 721137607
BaseRepresentation
bin101110001011…
…011010111001
3211210000111012
4232023122321
511044333101
61111243305
7204615500
oct56133271
924700435
1012105401
116918a70
124079535
13267ac79
141871837
1510e1bbb
hexb8b6b9

12105401 has 24 divisors (see below), whose sum is σ = 15803136. Its totient is φ = 9162720.

The previous prime is 12105397. The next prime is 12105419. The reversal of 12105401 is 10450121.

It is not a de Polignac number, because 12105401 - 22 = 12105397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12105421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19640 + ... + 20246.

It is an arithmetic number, because the mean of its divisors is an integer number (658464).

Almost surely, 212105401 is an apocalyptic number.

12105401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12105401 is a deficient number, since it is larger than the sum of its proper divisors (3697735).

12105401 is a wasteful number, since it uses less digits than its factorization.

12105401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12105401 is about 3479.2816787377. The cubic root of 12105401 is about 229.6111956666.

Adding to 12105401 its reverse (10450121), we get a palindrome (22555522).

The spelling of 12105401 in words is "twelve million, one hundred five thousand, four hundred one".

Divisors: 1 7 11 37 49 77 259 407 539 607 1813 2849 4249 6677 19943 22459 29743 46739 157213 247049 327173 1100491 1729343 12105401