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1076164113361 is a prime number
BaseRepresentation
bin11111010100100000110…
…00010011001111010001
310210212202201122021020111
433222100120103033101
5120112441003111421
62142214415441321
7140515231014451
oct17522030231721
93725681567214
101076164113361
1138544264a627
12154699226241
137a6357aca3c
143a12d98bd61
151ced80caee1
hexfa906133d1

1076164113361 has 2 divisors, whose sum is σ = 1076164113362. Its totient is φ = 1076164113360.

The previous prime is 1076164113259. The next prime is 1076164113373. The reversal of 1076164113361 is 1633114616701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 769725475600 + 306438637761 = 877340^2 + 553569^2 .

It is a cyclic number.

It is not a de Polignac number, because 1076164113361 - 225 = 1076130558929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1076164113161) 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, 538082056680 + 538082056681.

It is an arithmetic number, because the mean of its divisors is an integer number (538082056681).

Almost surely, 21076164113361 is an apocalyptic number.

It is an amenable number.

1076164113361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1076164113361 is an equidigital number, since it uses as much as digits as its factorization.

1076164113361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 1076164113361 in words is "one trillion, seventy-six billion, one hundred sixty-four million, one hundred thirteen thousand, three hundred sixty-one".