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2771240554241 is a prime number
BaseRepresentation
bin101000010100111010110…
…011110000111100000001
3100210221001112000101001222
4220110322303300330001
5330401000040213431
65521031302404425
7404133632023325
oct50247263607401
910727045011058
102771240554241
11979305057295
12389102a30715
1317143316c003
14981b3455985
154c14654257b
hex2853acf0f01

2771240554241 has 2 divisors, whose sum is σ = 2771240554242. Its totient is φ = 2771240554240.

The previous prime is 2771240554141. The next prime is 2771240554249. The reversal of 2771240554241 is 1424550421772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1605045745216 + 1166194809025 = 1266904^2 + 1079905^2 .

It is a cyclic number.

It is not a de Polignac number, because 2771240554241 - 230 = 2770166812417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2771240554192 and 2771240554201.

It is not a weakly prime, because it can be changed into another prime (2771240554249) 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, 1385620277120 + 1385620277121.

It is an arithmetic number, because the mean of its divisors is an integer number (1385620277121).

Almost surely, 22771240554241 is an apocalyptic number.

It is an amenable number.

2771240554241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2771240554241 is an equidigital number, since it uses as much as digits as its factorization.

2771240554241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 627200, while the sum is 44.

The spelling of 2771240554241 in words is "two trillion, seven hundred seventy-one billion, two hundred forty million, five hundred fifty-four thousand, two hundred forty-one".