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1307435177329 is a prime number
BaseRepresentation
bin10011000001101001001…
…101011001010101110001
311121222201101221121002021
4103001221031121111301
5132410111401133304
62440343305151441
7163313314433251
oct23015115312561
94558641847067
101307435177329
11464531088a46
1219148148b581
13963a160a358
14473ccc25961
1524021a50a54
hex13069359571

1307435177329 has 2 divisors, whose sum is σ = 1307435177330. Its totient is φ = 1307435177328.

The previous prime is 1307435177317. The next prime is 1307435177359. The reversal of 1307435177329 is 9237715347031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1265838759025 + 41596418304 = 1125095^2 + 203952^2 .

It is a cyclic number.

It is not a de Polignac number, because 1307435177329 - 211 = 1307435175281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1307435177359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 653717588664 + 653717588665.

It is an arithmetic number, because the mean of its divisors is an integer number (653717588665).

Almost surely, 21307435177329 is an apocalyptic number.

It is an amenable number.

1307435177329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307435177329 is an equidigital number, since it uses as much as digits as its factorization.

1307435177329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3333960, while the sum is 52.

The spelling of 1307435177329 in words is "one trillion, three hundred seven billion, four hundred thirty-five million, one hundred seventy-seven thousand, three hundred twenty-nine".