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1293324749681 is a prime number
BaseRepresentation
bin10010110100100000001…
…010011000101101110001
311120122022000200121020212
4102310200022120231301
5132142212113442211
62430051205513505
7162303535662236
oct22644012305561
94518260617225
101293324749681
11459550116898
1218a7a3a12895
1394c63176593
1446850c0578d
1523997da838b
hex12d20298b71

1293324749681 has 2 divisors, whose sum is σ = 1293324749682. Its totient is φ = 1293324749680.

The previous prime is 1293324749593. The next prime is 1293324749683. The reversal of 1293324749681 is 1869474233921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1284822250000 + 8502499681 = 1133500^2 + 92209^2 .

It is a cyclic number.

It is not a de Polignac number, because 1293324749681 - 238 = 1018446842737 is a prime.

It is a super-2 number, since 2×12933247496812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1293324749683, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1293324749681.

It is not a weakly prime, because it can be changed into another prime (1293324749683) 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, 646662374840 + 646662374841.

It is an arithmetic number, because the mean of its divisors is an integer number (646662374841).

Almost surely, 21293324749681 is an apocalyptic number.

It is an amenable number.

1293324749681 is a deficient number, since it is larger than the sum of its proper divisors (1).

1293324749681 is an equidigital number, since it uses as much as digits as its factorization.

1293324749681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15676416, while the sum is 59.

The spelling of 1293324749681 in words is "one trillion, two hundred ninety-three billion, three hundred twenty-four million, seven hundred forty-nine thousand, six hundred eighty-one".