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414110033 is a prime number
BaseRepresentation
bin11000101011101…
…101000101010001
31001212012222011122
4120223231011101
51322003010113
6105031452025
713155606611
oct3053550521
91055188148
10414110033
111a2832aa7
12b6827015
1367a41b2c
143cdd8a41
152654e408
hex18aed151

414110033 has 2 divisors, whose sum is σ = 414110034. Its totient is φ = 414110032.

The previous prime is 414110027. The next prime is 414110063. The reversal of 414110033 is 330011414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 289408144 + 124701889 = 17012^2 + 11167^2 .

It is a cyclic number.

It is not a de Polignac number, because 414110033 - 28 = 414109777 is a prime.

It is a super-2 number, since 2×4141100332 = 342974238862522178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414109993 and 414110020.

It is not a weakly prime, because it can be changed into another prime (414110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207055016 + 207055017.

It is an arithmetic number, because the mean of its divisors is an integer number (207055017).

Almost surely, 2414110033 is an apocalyptic number.

It is an amenable number.

414110033 is a deficient number, since it is larger than the sum of its proper divisors (1).

414110033 is an equidigital number, since it uses as much as digits as its factorization.

414110033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 414110033 is about 20349.6936831983. The cubic root of 414110033 is about 745.3700145362.

Adding to 414110033 its reverse (330011414), we get a palindrome (744121447).

The spelling of 414110033 in words is "four hundred fourteen million, one hundred ten thousand, thirty-three".