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99505029313 is a prime number
BaseRepresentation
bin101110010101011110…
…1100100000011000001
3100111211200021020010001
41130222331210003001
53112241241414223
6113413442040001
710121553536164
oct1345275440301
9314750236101
1099505029313
1139221aa4318
1217350049001
1394ca0c8891
144b5d417adb
1528c5a669ad
hex172af640c1

99505029313 has 2 divisors, whose sum is σ = 99505029314. Its totient is φ = 99505029312.

The previous prime is 99505029311. The next prime is 99505029427. The reversal of 99505029313 is 31392050599.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94143421584 + 5361607729 = 306828^2 + 73223^2 .

It is a cyclic number.

It is not a de Polignac number, because 99505029313 - 21 = 99505029311 is a prime.

Together with 99505029311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (99505029311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49752514656 + 49752514657.

It is an arithmetic number, because the mean of its divisors is an integer number (49752514657).

Almost surely, 299505029313 is an apocalyptic number.

It is an amenable number.

99505029313 is a deficient number, since it is larger than the sum of its proper divisors (1).

99505029313 is an equidigital number, since it uses as much as digits as its factorization.

99505029313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 328050, while the sum is 46.

The spelling of 99505029313 in words is "ninety-nine billion, five hundred five million, twenty-nine thousand, three hundred thirteen".