Search a number
-
+
42100169 is a prime number
BaseRepresentation
bin1010000010011…
…0010111001001
32221012220120112
42200212113021
541234201134
64102204105
71020563006
oct240462711
987186515
1042100169
1121845531
1212123635
138950757
14583c8ad
153a691ce
hex28265c9

42100169 has 2 divisors, whose sum is σ = 42100170. Its totient is φ = 42100168.

The previous prime is 42100151. The next prime is 42100171. The reversal of 42100169 is 96100124.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42055225 + 44944 = 6485^2 + 212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42100169 is a prime.

It is a super-2 number, since 2×421001692 = 3544848459657122, which contains 22 as substring.

Together with 42100171, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42100369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21050084 + 21050085.

It is an arithmetic number, because the mean of its divisors is an integer number (21050085).

Almost surely, 242100169 is an apocalyptic number.

It is an amenable number.

42100169 is a deficient number, since it is larger than the sum of its proper divisors (1).

42100169 is an equidigital number, since it uses as much as digits as its factorization.

42100169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 42100169 is about 6488.4643021288. The cubic root of 42100169 is about 347.8787864496.

The spelling of 42100169 in words is "forty-two million, one hundred thousand, one hundred sixty-nine".