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230001300041 is a prime number
BaseRepresentation
bin1101011000110100100…
…1010101001001001001
3210222200012000122012012
43112031021111021021
512232020313100131
6253354450025305
722421434536032
oct3261511251111
9728605018165
10230001300041
11895a7812a47
12386aab78235
13188c5a4ac16
14b1bc787a89
155eb225852b
hex358d255249

230001300041 has 2 divisors, whose sum is σ = 230001300042. Its totient is φ = 230001300040.

The previous prime is 230001300013. The next prime is 230001300043. The reversal of 230001300041 is 140003100032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218459020816 + 11542279225 = 467396^2 + 107435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230001300041 is a prime.

Together with 230001300043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 230001299989 and 230001300025.

It is not a weakly prime, because it can be changed into another prime (230001300043) 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, 115000650020 + 115000650021.

It is an arithmetic number, because the mean of its divisors is an integer number (115000650021).

Almost surely, 2230001300041 is an apocalyptic number.

It is an amenable number.

230001300041 is a deficient number, since it is larger than the sum of its proper divisors (1).

230001300041 is an equidigital number, since it uses as much as digits as its factorization.

230001300041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230001300041 its reverse (140003100032), we get a palindrome (370004400073).

Subtracting from 230001300041 its reverse (140003100032), we obtain a square (89998200009 = 2999972).

The spelling of 230001300041 in words is "two hundred thirty billion, one million, three hundred thousand, forty-one".