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1084759313293 is a prime number
BaseRepresentation
bin11111100100100001011…
…00011000101110001101
310211200221202000122221201
433302100230120232031
5120233041341011133
62150155340425501
7141241230012415
oct17622054305615
93750852018851
101084759313293
11389053397547
12156297848291
137b3a542a966
143a70730d645
151d33c996d7d
hexfc90b18b8d

1084759313293 has 2 divisors, whose sum is σ = 1084759313294. Its totient is φ = 1084759313292.

The previous prime is 1084759313159. The next prime is 1084759313359. The reversal of 1084759313293 is 3923139574801.

1084759313293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554865581449 + 529893731844 = 744893^2 + 727938^2 .

It is a cyclic number.

It is not a de Polignac number, because 1084759313293 - 29 = 1084759312781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1084759383293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542379656646 + 542379656647.

It is an arithmetic number, because the mean of its divisors is an integer number (542379656647).

Almost surely, 21084759313293 is an apocalyptic number.

It is an amenable number.

1084759313293 is a deficient number, since it is larger than the sum of its proper divisors (1).

1084759313293 is an equidigital number, since it uses as much as digits as its factorization.

1084759313293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 1084759313293 in words is "one trillion, eighty-four billion, seven hundred fifty-nine million, three hundred thirteen thousand, two hundred ninety-three".