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1000400002313 is a prime number
BaseRepresentation
bin11101000111011000111…
…11001001110100001001
310112122012121002122111112
432203230133021310021
5112342304400033223
62043324415540105
7132163562500355
oct16435437116411
93478177078445
101000400002313
113562a37a2618
12141a73b2a635
137345010b1ba
14365c360c465
151b05192a778
hexe8ec7c9d09

1000400002313 has 2 divisors, whose sum is σ = 1000400002314. Its totient is φ = 1000400002312.

The previous prime is 1000400002307. The next prime is 1000400002321. The reversal of 1000400002313 is 3132000040001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 600505655929 + 399894346384 = 774923^2 + 632372^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000400002313 - 26 = 1000400002249 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000400004313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500200001156 + 500200001157.

It is an arithmetic number, because the mean of its divisors is an integer number (500200001157).

Almost surely, 21000400002313 is an apocalyptic number.

It is an amenable number.

1000400002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000400002313 is an equidigital number, since it uses as much as digits as its factorization.

1000400002313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1000400002313 its reverse (3132000040001), we get a palindrome (4132400042314).

The spelling of 1000400002313 in words is "one trillion, four hundred million, two thousand, three hundred thirteen".