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30144022001 is a prime number
BaseRepresentation
bin11100000100101110…
…010100010111110001
32212210210021222102022
4130010232110113301
5443213332201001
621503055001225
72114665650032
oct340456242761
985723258368
1030144022001
1111869572985
125a13209215
132ac5180012
14165d618a89
15bb65c711b
hex704b945f1

30144022001 has 2 divisors, whose sum is σ = 30144022002. Its totient is φ = 30144022000.

The previous prime is 30144021997. The next prime is 30144022003. The reversal of 30144022001 is 10022044103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18219600400 + 11924421601 = 134980^2 + 109199^2 .

It is a cyclic number.

It is not a de Polignac number, because 30144022001 - 22 = 30144021997 is a prime.

It is a super-5 number, since 5×301440220015 (a number of 54 digits) contains 55555 as substring.

Together with 30144022003, 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 (30144022003) 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, 15072011000 + 15072011001.

It is an arithmetic number, because the mean of its divisors is an integer number (15072011001).

Almost surely, 230144022001 is an apocalyptic number.

It is an amenable number.

30144022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

30144022001 is an equidigital number, since it uses as much as digits as its factorization.

30144022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 30144022001 its reverse (10022044103), we get a palindrome (40166066104).

The spelling of 30144022001 in words is "thirty billion, one hundred forty-four million, twenty-two thousand, one".