Search a number
-
+
12117171 = 311599613
BaseRepresentation
bin101110001110…
…010010110011
3211210121122010
4232032102303
511100222141
61111414003
7204665013
oct56162263
924717563
1012117171
1169268a0
124084303
132683431
141875c43
1510e5416
hexb8e4b3

12117171 has 16 divisors (see below), whose sum is σ = 17683200. Its totient is φ = 7319520.

The previous prime is 12117121. The next prime is 12117221. The reversal of 12117171 is 17171121.

It is an interprime number because it is at equal distance from previous prime (12117121) and next prime (12117221).

It is not a de Polignac number, because 12117171 - 27 = 12117043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12117121) 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, 19461 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (1105200).

Almost surely, 212117171 is an apocalyptic number.

12117171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12117171 is a deficient number, since it is larger than the sum of its proper divisors (5566029).

12117171 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12117170) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1226).

12117171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226.

The product of its digits is 98, while the sum is 21.

The square root of 12117171 is about 3480.9727088847. The cubic root of 12117171 is about 229.6855880354.

Adding to 12117171 its reverse (17171121), we get a palindrome (29288292).

The spelling of 12117171 in words is "twelve million, one hundred seventeen thousand, one hundred seventy-one".

Divisors: 1 3 11 33 599 613 1797 1839 6589 6743 19767 20229 367187 1101561 4039057 12117171