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1022077132781 is a prime number
BaseRepresentation
bin11101101111110001000…
…10110101111111101101
310121201011022102222020112
432313320202311333231
5113221203221222111
62101311420025405
7133562011166435
oct16677042657755
93551138388215
101022077132781
11364507994581
12146103692265
13754c60b5b13
143767c5452c5
151b8bea2de8b
hexedf88b5fed

1022077132781 has 2 divisors, whose sum is σ = 1022077132782. Its totient is φ = 1022077132780.

The previous prime is 1022077132771. The next prime is 1022077132789. The reversal of 1022077132781 is 1872317702201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 546466906756 + 475610226025 = 739234^2 + 689645^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022077132781 - 26 = 1022077132717 is a prime.

It is a super-2 number, since 2×10220771327812 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022077132789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511038566390 + 511038566391.

It is an arithmetic number, because the mean of its divisors is an integer number (511038566391).

Almost surely, 21022077132781 is an apocalyptic number.

It is an amenable number.

1022077132781 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022077132781 is an equidigital number, since it uses as much as digits as its factorization.

1022077132781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 41.

The spelling of 1022077132781 in words is "one trillion, twenty-two billion, seventy-seven million, one hundred thirty-two thousand, seven hundred eighty-one".