Search a number
-
+
412131114 = 232113202621
BaseRepresentation
bin11000100100001…
…001111100101010
31001201111102121100
4120210021330222
51321001143424
6104521222230
713133025303
oct3044117452
91051442540
10412131114
111a170122a
12b6031976
13674cb185
143ca417aa
15262acdc9
hex18909f2a

412131114 has 24 divisors (see below), whose sum is σ = 900857412. Its totient is φ = 136160640.

The previous prime is 412131113. The next prime is 412131131. The reversal of 412131114 is 411131214.

It can be written as a sum of positive squares in 2 ways, for example, as 411400089 + 731025 = 20283^2 + 855^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (412131113) 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 11 ways as a sum of consecutive naturals, for example, 99277 + ... + 103344.

Almost surely, 2412131114 is an apocalyptic number.

412131114 is an abundant number, since it is smaller than the sum of its proper divisors (488726298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412131114 is a wasteful number, since it uses less digits than its factorization.

412131114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202742 (or 202739 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 412131114 is about 20301.0126348416. The cubic root of 412131114 is about 744.1808115002.

Adding to 412131114 its reverse (411131214), we get a palindrome (823262328).

The spelling of 412131114 in words is "four hundred twelve million, one hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 113 226 339 678 1017 2034 202621 405242 607863 1215726 1823589 3647178 22896173 45792346 68688519 137377038 206065557 412131114