Search a number
-
+
1009142209 is a prime number
BaseRepresentation
bin111100001001100…
…100100111000001
32121022212201212101
4330021210213001
54031320022314
6244045230401
734002365365
oct7411444701
92538781771
101009142209
114786a8529
12241b62401
131310bb48a
149804b2a5
155d8da174
hex3c2649c1

1009142209 has 2 divisors, whose sum is σ = 1009142210. Its totient is φ = 1009142208.

The previous prime is 1009142201. The next prime is 1009142213. The reversal of 1009142209 is 9022419001.

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., 609941809 + 399200400 = 24697^2 + 19980^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009142209 - 23 = 1009142201 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009142201) 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, 504571104 + 504571105.

It is an arithmetic number, because the mean of its divisors is an integer number (504571105).

Almost surely, 21009142209 is an apocalyptic number.

It is an amenable number.

1009142209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009142209 is an equidigital number, since it uses as much as digits as its factorization.

1009142209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1009142209 is about 31766.9987408317. The cubic root of 1009142209 is about 1003.0381632164.

The spelling of 1009142209 in words is "one billion, nine million, one hundred forty-two thousand, two hundred nine".