Search a number
-
+
30513144437 is a prime number
BaseRepresentation
bin11100011010101110…
…011010001001110101
32220202111212100012122
4130122232122021311
5444442331110222
622003442325325
72130100306526
oct343256321165
986674770178
1030513144437
1111a38969046
125ab6959845
132b537a0069
14169666284d
15bd8bdba42
hex71ab9a275

30513144437 has 2 divisors, whose sum is σ = 30513144438. Its totient is φ = 30513144436.

The previous prime is 30513144379. The next prime is 30513144443. The reversal of 30513144437 is 73444131503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25403896996 + 5109247441 = 159386^2 + 71479^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30513144437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30513144397 and 30513144406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30513044437) 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, 15256572218 + 15256572219.

It is an arithmetic number, because the mean of its divisors is an integer number (15256572219).

Almost surely, 230513144437 is an apocalyptic number.

It is an amenable number.

30513144437 is a deficient number, since it is larger than the sum of its proper divisors (1).

30513144437 is an equidigital number, since it uses as much as digits as its factorization.

30513144437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 30513144437 in words is "thirty billion, five hundred thirteen million, one hundred forty-four thousand, four hundred thirty-seven".