Search a number
-
+
30312013 is a prime number
BaseRepresentation
bin111001110100…
…0011001001101
32010001000021011
41303220121031
530224441023
63001405221
7515435134
oct163503115
963030234
1030312013
1116123956
12a199811
136384004
14405091b
1529db50d
hex1ce864d

30312013 has 2 divisors, whose sum is σ = 30312014. Its totient is φ = 30312012.

The previous prime is 30311977. The next prime is 30312053. The reversal of 30312013 is 31021303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23011209 + 7300804 = 4797^2 + 2702^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30312013 is a prime.

It is a super-2 number, since 2×303120132 = 1837636264224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30311984 and 30312002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30312053) 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, 15156006 + 15156007.

It is an arithmetic number, because the mean of its divisors is an integer number (15156007).

Almost surely, 230312013 is an apocalyptic number.

It is an amenable number.

30312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

30312013 is an equidigital number, since it uses as much as digits as its factorization.

30312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 30312013 is about 5505.6346591469. The cubic root of 30312013 is about 311.7967563285.

Adding to 30312013 its reverse (31021303), we get a palindrome (61333316).

The spelling of 30312013 in words is "thirty million, three hundred twelve thousand, thirteen".