Search a number
-
+
310287729049 is a prime number
BaseRepresentation
bin1001000001111101001…
…01110000000110011001
31002122220111002210220221
410200332211300012121
520040432124312144
6354313314520041
731263135115444
oct4407645600631
91078814083827
10310287729049
1110a657374411
1250176896021
132334c30b74c
14110375a265b
158110954d84
hex483e970199

310287729049 has 2 divisors, whose sum is σ = 310287729050. Its totient is φ = 310287729048.

The previous prime is 310287729047. The next prime is 310287729061. The reversal of 310287729049 is 940927782013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310284649024 + 3080025 = 557032^2 + 1755^2 .

It is a cyclic number.

It is not a de Polignac number, because 310287729049 - 21 = 310287729047 is a prime.

Together with 310287729047, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 310287728987 and 310287729005.

It is not a weakly prime, because it can be changed into another prime (310287729047) 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, 155143864524 + 155143864525.

It is an arithmetic number, because the mean of its divisors is an integer number (155143864525).

Almost surely, 2310287729049 is an apocalyptic number.

It is an amenable number.

310287729049 is a deficient number, since it is larger than the sum of its proper divisors (1).

310287729049 is an equidigital number, since it uses as much as digits as its factorization.

310287729049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 310287729049 in words is "three hundred ten billion, two hundred eighty-seven million, seven hundred twenty-nine thousand, forty-nine".