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1307827769021 is a prime number
BaseRepresentation
bin10011000010000000100…
…111000000111010111101
311122000201202200022122022
4103002000213000322331
5132411412402102041
62440450251525525
7163326122421404
oct23020047007275
94560652608568
101307827769021
11464712753994
12191570a598a5
1396434a56927
144742901c63b
152404624e24b
hex130809c0ebd

1307827769021 has 2 divisors, whose sum is σ = 1307827769022. Its totient is φ = 1307827769020.

The previous prime is 1307827768889. The next prime is 1307827769041. The reversal of 1307827769021 is 1209677287031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1168485331225 + 139342437796 = 1080965^2 + 373286^2 .

It is an emirp because it is prime and its reverse (1209677287031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1307827769021 - 210 = 1307827767997 is a prime.

It is a super-2 number, since 2×13078277690212 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1307827769041) 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, 653913884510 + 653913884511.

It is an arithmetic number, because the mean of its divisors is an integer number (653913884511).

Almost surely, 21307827769021 is an apocalyptic number.

It is an amenable number.

1307827769021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1307827769021 is an equidigital number, since it uses as much as digits as its factorization.

1307827769021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 53.

The spelling of 1307827769021 in words is "one trillion, three hundred seven billion, eight hundred twenty-seven million, seven hundred sixty-nine thousand, twenty-one".