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414432121 is a prime number
BaseRepresentation
bin11000101100111…
…011101101111001
31001212211022222211
4120230323231321
51322043311441
6105042415121
713161420625
oct3054735571
91055738884
10414432121
111a2a32a94
12b69614a1
1367b2560c
143d080185
15265b4a81
hex18b3bb79

414432121 has 2 divisors, whose sum is σ = 414432122. Its totient is φ = 414432120.

The previous prime is 414432119. The next prime is 414432131. The reversal of 414432121 is 121234414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 402564096 + 11868025 = 20064^2 + 3445^2 .

It is a cyclic number.

It is not a de Polignac number, because 414432121 - 21 = 414432119 is a prime.

Together with 414432119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 414432092 and 414432101.

It is not a weakly prime, because it can be changed into another prime (414432131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207216060 + 207216061.

It is an arithmetic number, because the mean of its divisors is an integer number (207216061).

Almost surely, 2414432121 is an apocalyptic number.

It is an amenable number.

414432121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414432121 is an equidigital number, since it uses as much as digits as its factorization.

414432121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 768, while the sum is 22.

The square root of 414432121 is about 20357.6059741808. The cubic root of 414432121 is about 745.5632099858.

Adding to 414432121 its reverse (121234414), we get a palindrome (535666535).

The spelling of 414432121 in words is "four hundred fourteen million, four hundred thirty-two thousand, one hundred twenty-one".