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434144101 is a prime number
BaseRepresentation
bin11001111000001…
…000001101100101
31010020220210202011
4121320020031211
51342120102401
6111025114221
713521110146
oct3170101545
91106823664
10434144101
11203076986
12101488971
136bc37901
1441931acd
15281aa451
hex19e08365

434144101 has 2 divisors, whose sum is σ = 434144102. Its totient is φ = 434144100.

The previous prime is 434144077. The next prime is 434144153. The reversal of 434144101 is 101441434.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 414163201 + 19980900 = 20351^2 + 4470^2 .

It is a cyclic number.

It is not a de Polignac number, because 434144101 - 221 = 432046949 is a prime.

It is a super-2 number, since 2×4341441012 = 376962200866196402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (434144701) 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 as a sum of consecutive naturals, namely, 217072050 + 217072051.

It is an arithmetic number, because the mean of its divisors is an integer number (217072051).

Almost surely, 2434144101 is an apocalyptic number.

It is an amenable number.

434144101 is a deficient number, since it is larger than the sum of its proper divisors (1).

434144101 is an equidigital number, since it uses as much as digits as its factorization.

434144101 is an odious number, because the sum of its binary digits is odd.

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

The square root of 434144101 is about 20836.1249036379. The cubic root of 434144101 is about 757.2012137682.

Adding to 434144101 its reverse (101441434), we get a palindrome (535585535).

The spelling of 434144101 in words is "four hundred thirty-four million, one hundred forty-four thousand, one hundred one".