Search a number
-
+
281385401281 is a prime number
BaseRepresentation
bin1000001100000111110…
…00000111101111000001
3222220022020021102202221
410012003320013233001
514102234130320111
6333133333411041
726220664306255
oct4060370075701
9886266242687
10281385401281
11a93757a5816
124664b499a81
13206c449095a
14d894c4c265
1574bd3a2371
hex4183e07bc1

281385401281 has 2 divisors, whose sum is σ = 281385401282. Its totient is φ = 281385401280.

The previous prime is 281385401279. The next prime is 281385401393. The reversal of 281385401281 is 182104583182.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 281201120656 + 184280625 = 530284^2 + 13575^2 .

It is a cyclic number.

It is not a de Polignac number, because 281385401281 - 21 = 281385401279 is a prime.

It is a super-2 number, since 2×2813854012812 (a number of 24 digits) contains 22 as substring.

Together with 281385401279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (281385401581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 140692700640 + 140692700641.

It is an arithmetic number, because the mean of its divisors is an integer number (140692700641).

Almost surely, 2281385401281 is an apocalyptic number.

It is an amenable number.

281385401281 is a deficient number, since it is larger than the sum of its proper divisors (1).

281385401281 is an equidigital number, since it uses as much as digits as its factorization.

281385401281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 281385401281 in words is "two hundred eighty-one billion, three hundred eighty-five million, four hundred one thousand, two hundred eighty-one".