Search a number
-
+
442052101 is a prime number
BaseRepresentation
bin11010010110010…
…010111000000101
31010210210120111001
4122112102320011
51401131131401
6111510413301
713645244431
oct3226227005
91123716431
10442052101
11207588317
12104061231
13707761ba
14429cd9c1
1528c1d601
hex1a592e05

442052101 has 2 divisors, whose sum is σ = 442052102. Its totient is φ = 442052100.

The previous prime is 442052099. The next prime is 442052113. The reversal of 442052101 is 101250244.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265853025 + 176199076 = 16305^2 + 13274^2 .

It is a cyclic number.

It is not a de Polignac number, because 442052101 - 21 = 442052099 is a prime.

Together with 442052099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442052141) 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, 221026050 + 221026051.

It is an arithmetic number, because the mean of its divisors is an integer number (221026051).

Almost surely, 2442052101 is an apocalyptic number.

It is an amenable number.

442052101 is a deficient number, since it is larger than the sum of its proper divisors (1).

442052101 is an equidigital number, since it uses as much as digits as its factorization.

442052101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 442052101 is about 21025.0351010409. The cubic root of 442052101 is about 761.7710893568.

The spelling of 442052101 in words is "four hundred forty-two million, fifty-two thousand, one hundred one".