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1085073261341 is a prime number
BaseRepresentation
bin11111100101000110110…
…10000000001100011101
310211201202121202212201012
433302203122000030131
5120234212223330331
62150250433425005
7141252061354016
oct17624332001435
93751677685635
101085073261341
113891a4628343
12156364a0b165
137b4254a0334
143a736cb400d
151d35a30d82b
hexfca368031d

1085073261341 has 2 divisors, whose sum is σ = 1085073261342. Its totient is φ = 1085073261340.

The previous prime is 1085073261241. The next prime is 1085073261343. The reversal of 1085073261341 is 1431623705801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988334222500 + 96739038841 = 994150^2 + 311029^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1085073261341 is a prime.

Together with 1085073261343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1085073261343) 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, 542536630670 + 542536630671.

It is an arithmetic number, because the mean of its divisors is an integer number (542536630671).

Almost surely, 21085073261341 is an apocalyptic number.

It is an amenable number.

1085073261341 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085073261341 is an equidigital number, since it uses as much as digits as its factorization.

1085073261341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 1085073261341 in words is "one trillion, eighty-five billion, seventy-three million, two hundred sixty-one thousand, three hundred forty-one".