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200303313313 is a prime number
BaseRepresentation
bin1011101010001100000…
…0100000000110100001
3201011000111000121010211
42322203000200012201
511240210122011223
6232003523054121
720320463033245
oct2724300400641
9634014017124
10200303313313
1177a47aa8a64
12329a1211341
1315b7210a0cc
1499a24b8425
155324dd9d0d
hex2ea30201a1

200303313313 has 2 divisors, whose sum is σ = 200303313314. Its totient is φ = 200303313312.

The previous prime is 200303313289. The next prime is 200303313319. The reversal of 200303313313 is 313313303002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159641800704 + 40661512609 = 399552^2 + 201647^2 .

It is a cyclic number.

It is not a de Polignac number, because 200303313313 - 217 = 200303182241 is a prime.

It is not a weakly prime, because it can be changed into another prime (200303313319) 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, 100151656656 + 100151656657.

It is an arithmetic number, because the mean of its divisors is an integer number (100151656657).

Almost surely, 2200303313313 is an apocalyptic number.

It is an amenable number.

200303313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

200303313313 is an equidigital number, since it uses as much as digits as its factorization.

200303313313 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 200303313313 its reverse (313313303002), we get a palindrome (513616616315).

The spelling of 200303313313 in words is "two hundred billion, three hundred three million, three hundred thirteen thousand, three hundred thirteen".