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231300101 is a prime number
BaseRepresentation
bin11011100100101…
…01110000000101
3121010020021002102
431302111300011
5433203100401
634541321445
75506006214
oct1562256005
9533207072
10231300101
1110962120a
1265566285
1338bc5c86
1422a0d07b
151548d56b
hexdc95c05

231300101 has 2 divisors, whose sum is σ = 231300102. Its totient is φ = 231300100.

The previous prime is 231300077. The next prime is 231300103. The reversal of 231300101 is 101003132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230736100 + 564001 = 15190^2 + 751^2 .

It is a cyclic number.

It is not a de Polignac number, because 231300101 - 222 = 227105797 is a prime.

It is a super-2 number, since 2×2313001012 = 106999473445220402, which contains 22 as substring.

Together with 231300103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231300103) 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, 115650050 + 115650051.

It is an arithmetic number, because the mean of its divisors is an integer number (115650051).

Almost surely, 2231300101 is an apocalyptic number.

It is an amenable number.

231300101 is a deficient number, since it is larger than the sum of its proper divisors (1).

231300101 is an equidigital number, since it uses as much as digits as its factorization.

231300101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 231300101 is about 15208.5535472641. The cubic root of 231300101 is about 613.8448371306.

Adding to 231300101 its reverse (101003132), we get a palindrome (332303233).

The spelling of 231300101 in words is "two hundred thirty-one million, three hundred thousand, one hundred one".