Search a number
-
+
101024144329 is a prime number
BaseRepresentation
bin101111000010110000…
…0100001101111001001
3100122202112202021011011
41132011200201233021
53123344140104304
6114224310003521
710204321026013
oct1360540415711
9318675667134
10101024144329
113993154a979
12176b49465a1
1396aca514c4
144c650951b3
1529640d9c04
hex1785821bc9

101024144329 has 2 divisors, whose sum is σ = 101024144330. Its totient is φ = 101024144328.

The previous prime is 101024144327. The next prime is 101024144339. The reversal of 101024144329 is 923441420101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96997988025 + 4026156304 = 311445^2 + 63452^2 .

It is a cyclic number.

It is not a de Polignac number, because 101024144329 - 21 = 101024144327 is a prime.

Together with 101024144327, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 101024144329.

It is not a weakly prime, because it can be changed into another prime (101024144321) 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, 50512072164 + 50512072165.

It is an arithmetic number, because the mean of its divisors is an integer number (50512072165).

Almost surely, 2101024144329 is an apocalyptic number.

It is an amenable number.

101024144329 is a deficient number, since it is larger than the sum of its proper divisors (1).

101024144329 is an equidigital number, since it uses as much as digits as its factorization.

101024144329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 101024144329 in words is "one hundred one billion, twenty-four million, one hundred forty-four thousand, three hundred twenty-nine".