Search a number
-
+
12106193 = 1117411579
BaseRepresentation
bin101110001011…
…100111010001
3211210001120112
4232023213101
511044344233
61111251105
7204621011
oct56134721
924701515
1012106193
116919620
124079a95
13267b438
141871c41
1510e2048
hexb8b9d1

12106193 has 16 divisors (see below), whose sum is σ = 14333760. Its totient is φ = 10099200.

The previous prime is 12106183. The next prime is 12106201. The reversal of 12106193 is 39160121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12106193 - 220 = 11057617 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 (12106183) by changing a digit.

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, 6878 + ... + 8456.

It is an arithmetic number, because the mean of its divisors is an integer number (895860).

Almost surely, 212106193 is an apocalyptic number.

It is an amenable number.

12106193 is a deficient number, since it is larger than the sum of its proper divisors (2227567).

12106193 is a wasteful number, since it uses less digits than its factorization.

12106193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 12106193 is about 3479.3954934730. The cubic root of 12106193 is about 229.6162030211.

The spelling of 12106193 in words is "twelve million, one hundred six thousand, one hundred ninety-three".

Divisors: 1 11 17 41 187 451 697 1579 7667 17369 26843 64739 295273 712129 1100563 12106193