Search a number
-
+
271539126281 is a prime number
BaseRepresentation
bin1111110011100011111…
…1100100000000001001
3221221220000202211201002
43330320333210000021
513422103004020111
6324424321504345
725421664330203
oct3747077440011
9857800684632
10271539126281
11a5182837665
1244761aa20b5
131c7b55a7a27
14d1dd2a3773
1570e3c5c63b
hex3f38fe4009

271539126281 has 2 divisors, whose sum is σ = 271539126282. Its totient is φ = 271539126280.

The previous prime is 271539126179. The next prime is 271539126283. The reversal of 271539126281 is 182621935172.

271539126281 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., 198790247881 + 72748878400 = 445859^2 + 269720^2 .

It is a cyclic number.

It is not a de Polignac number, because 271539126281 - 222 = 271534931977 is a prime.

It is a super-3 number, since 3×2715391262813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 271539126283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (271539126283) 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, 135769563140 + 135769563141.

It is an arithmetic number, because the mean of its divisors is an integer number (135769563141).

Almost surely, 2271539126281 is an apocalyptic number.

It is an amenable number.

271539126281 is a deficient number, since it is larger than the sum of its proper divisors (1).

271539126281 is an equidigital number, since it uses as much as digits as its factorization.

271539126281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 362880, while the sum is 47.

The spelling of 271539126281 in words is "two hundred seventy-one billion, five hundred thirty-nine million, one hundred twenty-six thousand, two hundred eighty-one".