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1306123435073 is a prime number
BaseRepresentation
bin10011000000011011000…
…001011111110001000001
311121212022222200011222202
4103000123001133301001
5132344420044410243
62440005210042545
7163235646005642
oct23003301376101
94555288604882
101306123435073
11463a186a0636
12191176119455
13962229207c2
14473069296c9
1523e967e14b8
hex1301b05fc41

1306123435073 has 2 divisors, whose sum is σ = 1306123435074. Its totient is φ = 1306123435072.

The previous prime is 1306123435013. The next prime is 1306123435153. The reversal of 1306123435073 is 3705343216031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673069286464 + 633054148609 = 820408^2 + 795647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306123435073 - 28 = 1306123434817 is a prime.

It is not a weakly prime, because it can be changed into another prime (1306123435013) 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, 653061717536 + 653061717537.

It is an arithmetic number, because the mean of its divisors is an integer number (653061717537).

Almost surely, 21306123435073 is an apocalyptic number.

It is an amenable number.

1306123435073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306123435073 is an equidigital number, since it uses as much as digits as its factorization.

1306123435073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 1306123435073 in words is "one trillion, three hundred six billion, one hundred twenty-three million, four hundred thirty-five thousand, seventy-three".