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1000313402329 is a prime number
BaseRepresentation
bin11101000111001110101…
…00110011001111011001
310112121222120010220122201
432203213110303033121
5112342120212333304
62043312043450201
7132161461425313
oct16434724631731
93477876126581
101000313402329
1135625992378a
12141a4ab26961
13734381a99c7
14365b5d087b3
151b0490213a4
hexe8e75333d9

1000313402329 has 2 divisors, whose sum is σ = 1000313402330. Its totient is φ = 1000313402328.

The previous prime is 1000313402233. The next prime is 1000313402351. The reversal of 1000313402329 is 9232043130001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 955506250000 + 44807152329 = 977500^2 + 211677^2 .

It is an emirp because it is prime and its reverse (9232043130001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000313402329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000313402297 and 1000313402306.

It is not a weakly prime, because it can be changed into another prime (1000313402369) 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, 500156701164 + 500156701165.

It is an arithmetic number, because the mean of its divisors is an integer number (500156701165).

Almost surely, 21000313402329 is an apocalyptic number.

It is an amenable number.

1000313402329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000313402329 is an equidigital number, since it uses as much as digits as its factorization.

1000313402329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 1000313402329 in words is "one trillion, three hundred thirteen million, four hundred two thousand, three hundred twenty-nine".