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413014122 = 232169313553
BaseRepresentation
bin11000100111100…
…001100001101010
31001210011021212100
4120213201201222
51321212422442
6104552154230
713143363543
oct3047414152
91053137770
10413014122
111a2154694
12b6398976
136774a071
143cbd14ca
15263d484c
hex189e186a

413014122 has 24 divisors (see below), whose sum is σ = 895458564. Its totient is φ = 137579904.

The previous prime is 413014117. The next prime is 413014123. The reversal of 413014122 is 221410314.

It can be written as a sum of positive squares in 2 ways, for example, as 409698081 + 3316041 = 20241^2 + 1821^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 413014095 and 413014104.

It is not an unprimeable number, because it can be changed into a prime (413014123) 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, 23698 + ... + 37250.

Almost surely, 2413014122 is an apocalyptic number.

413014122 is an abundant number, since it is smaller than the sum of its proper divisors (482444442).

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

413014122 is a wasteful number, since it uses less digits than its factorization.

413014122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15254 (or 15251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413014122 is about 20322.7488790272. The cubic root of 413014122 is about 744.7119117941.

Adding to 413014122 its reverse (221410314), we get a palindrome (634424436).

The spelling of 413014122 in words is "four hundred thirteen million, fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1693 3386 5079 10158 13553 15237 27106 30474 40659 81318 121977 243954 22945229 45890458 68835687 137671374 206507061 413014122