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30003010030313 is a prime number
BaseRepresentation
bin1101101001001100111101…
…10000010100101011101001
310221020021000100121010211022
412310212132300110223221
512413032131031432223
6143451105330342225
76214434362255615
oct664463660245351
9127207010533738
1030003010030313
119618228a92411
12344694b42a975
13139836bc26088
1475a221044345
153706a919eac8
hex1b499ec14ae9

30003010030313 has 2 divisors, whose sum is σ = 30003010030314. Its totient is φ = 30003010030312.

The previous prime is 30003010030261. The next prime is 30003010030321. The reversal of 30003010030313 is 31303001030003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17241454112089 + 12761555918224 = 4152283^2 + 3572332^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30003010030313 is a prime.

It is a super-2 number, since 2×300030100303132 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30003010030291 and 30003010030300.

It is not a weakly prime, because it can be changed into another prime (30003010030363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15001505015156 + 15001505015157.

It is an arithmetic number, because the mean of its divisors is an integer number (15001505015157).

Almost surely, 230003010030313 is an apocalyptic number.

It is an amenable number.

30003010030313 is a deficient number, since it is larger than the sum of its proper divisors (1).

30003010030313 is an equidigital number, since it uses as much as digits as its factorization.

30003010030313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 30003010030313 its reverse (31303001030003), we get a palindrome (61306011060316).

The spelling of 30003010030313 in words is "thirty trillion, three billion, ten million, thirty thousand, three hundred thirteen".