Search a number
-
+
18582022001 is a prime number
BaseRepresentation
bin10001010011100100…
…110010011101110001
31202222000100112010002
4101103210302131301
5301023444201001
612311513115345
71225323403154
oct212344623561
952860315102
1018582022001
117976081184
1237270b8b55
1319a19a31ba
14c83c53c9b
1573b52446b
hex453932771

18582022001 has 2 divisors, whose sum is σ = 18582022002. Its totient is φ = 18582022000.

The previous prime is 18582021973. The next prime is 18582022003. The reversal of 18582022001 is 10022028581.

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., 16380160225 + 2201861776 = 127985^2 + 46924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-18582022001 is a prime.

Together with 18582022003, 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 (18582022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9291011000 + 9291011001.

It is an arithmetic number, because the mean of its divisors is an integer number (9291011001).

Almost surely, 218582022001 is an apocalyptic number.

It is an amenable number.

18582022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

18582022001 is an equidigital number, since it uses as much as digits as its factorization.

18582022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 29.

The spelling of 18582022001 in words is "eighteen billion, five hundred eighty-two million, twenty-two thousand, one".