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10302333313 is a prime number
BaseRepresentation
bin10011001100001000…
…10010000110000001
3222120222122202110111
421212010102012001
5132044344131223
64422142431321
7513205250116
oct114604220601
928528582414
1010302333313
114407442558
121bb6292541
13c8252431c
146da38290d
154046cd30d
hex266112181

10302333313 has 2 divisors, whose sum is σ = 10302333314. Its totient is φ = 10302333312.

The previous prime is 10302333299. The next prime is 10302333361. The reversal of 10302333313 is 31333320301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9371595249 + 930738064 = 96807^2 + 30508^2 .

It is an emirp because it is prime and its reverse (31333320301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10302333313 is a prime.

It is a super-2 number, since 2×103023333132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10302334313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5151166656 + 5151166657.

It is an arithmetic number, because the mean of its divisors is an integer number (5151166657).

Almost surely, 210302333313 is an apocalyptic number.

It is an amenable number.

10302333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10302333313 is an equidigital number, since it uses as much as digits as its factorization.

10302333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 10302333313 its reverse (31333320301), we get a palindrome (41635653614).

The spelling of 10302333313 in words is "ten billion, three hundred two million, three hundred thirty-three thousand, three hundred thirteen".