Search a number
-
+
301301000933 is a prime number
BaseRepresentation
bin1000110001001101111…
…00000110101011100101
31001210201011222201111212
410120212330012223211
514414031024012213
6350225450041205
730524343152102
oct4304674065345
91053634881455
10301301000933
11106865618589
124a489119205
132254952734a
1410823c43aa9
157c869ea9a8
hex4626f06ae5

301301000933 has 2 divisors, whose sum is σ = 301301000934. Its totient is φ = 301301000932.

The previous prime is 301301000929. The next prime is 301301000951. The reversal of 301301000933 is 339000103103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188188513249 + 113112487684 = 433807^2 + 336322^2 .

It is a cyclic number.

It is not a de Polignac number, because 301301000933 - 22 = 301301000929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301301000899 and 301301000908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301301006933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150650500466 + 150650500467.

It is an arithmetic number, because the mean of its divisors is an integer number (150650500467).

Almost surely, 2301301000933 is an apocalyptic number.

It is an amenable number.

301301000933 is a deficient number, since it is larger than the sum of its proper divisors (1).

301301000933 is an equidigital number, since it uses as much as digits as its factorization.

301301000933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

The spelling of 301301000933 in words is "three hundred one billion, three hundred one million, nine hundred thirty-three", and thus it is an aban number.