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27193115023381 is a prime number
BaseRepresentation
bin1100010111011011000111…
…11101100001100000010101
310120021122011221102010011101
412023231203331201200111
512031012444421222011
6133500202232510101
75504431511633026
oct613554375414025
9116248157363141
1027193115023381
11873459856475a
12307225b24b331
1312233b86c9268
146a0221ddac4d
1532254e3612c1
hex18bb63f61815

27193115023381 has 2 divisors, whose sum is σ = 27193115023382. Its totient is φ = 27193115023380.

The previous prime is 27193115023351. The next prime is 27193115023391. The reversal of 27193115023381 is 18332051139172.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20184038802225 + 7009076221156 = 4492665^2 + 2647466^2 .

It is a cyclic number.

It is not a de Polignac number, because 27193115023381 - 211 = 27193115021333 is a prime.

It is a super-3 number, since 3×271931150233813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27193115023351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13596557511690 + 13596557511691.

It is an arithmetic number, because the mean of its divisors is an integer number (13596557511691).

Almost surely, 227193115023381 is an apocalyptic number.

It is an amenable number.

27193115023381 is a deficient number, since it is larger than the sum of its proper divisors (1).

27193115023381 is an equidigital number, since it uses as much as digits as its factorization.

27193115023381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 27193115023381 in words is "twenty-seven trillion, one hundred ninety-three billion, one hundred fifteen million, twenty-three thousand, three hundred eighty-one".