Search a number
-
+
10142189 is a prime number
BaseRepresentation
bin100110101100…
…000111101101
3201002021110122
4212230013231
510044022224
61001214325
7152131031
oct46540755
921067418
1010142189
1157a7a82
1234913a5
1321414c5
1414c01c1
15d5515e
hex9ac1ed

10142189 has 2 divisors, whose sum is σ = 10142190. Its totient is φ = 10142188.

The previous prime is 10142161. The next prime is 10142191. The reversal of 10142189 is 98124101.

10142189 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8168164 + 1974025 = 2858^2 + 1405^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142189 - 28 = 10141933 is a prime.

It is a Sophie Germain prime.

Together with 10142191, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10142389) 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, 5071094 + 5071095.

It is an arithmetic number, because the mean of its divisors is an integer number (5071095).

Almost surely, 210142189 is an apocalyptic number.

It is an amenable number.

10142189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142189 is an equidigital number, since it uses as much as digits as its factorization.

10142189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10142189 is about 3184.6803607270. The cubic root of 10142189 is about 216.4597901739.

The spelling of 10142189 in words is "ten million, one hundred forty-two thousand, one hundred eighty-nine".