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247087112081 is a prime number
BaseRepresentation
bin1110011000011110001…
…0100001111110010001
3212121202220222211002112
43212013202201332101
513022013300041311
6305302114155105
723565022541105
oct3460742417621
9777686884075
10247087112081
1195875262467
123ba78b82a95
131a3b9757c84
14bd5da03905
15666223128b
hex39878a1f91

247087112081 has 2 divisors, whose sum is σ = 247087112082. Its totient is φ = 247087112080.

The previous prime is 247087112057. The next prime is 247087112101. The reversal of 247087112081 is 180211780742.

247087112081 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., 239145450625 + 7941661456 = 489025^2 + 89116^2 .

It is a cyclic number.

It is not a de Polignac number, because 247087112081 - 210 = 247087111057 is a prime.

It is a super-2 number, since 2×2470871120812 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (247087112981) 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, 123543556040 + 123543556041.

It is an arithmetic number, because the mean of its divisors is an integer number (123543556041).

Almost surely, 2247087112081 is an apocalyptic number.

It is an amenable number.

247087112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

247087112081 is an equidigital number, since it uses as much as digits as its factorization.

247087112081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50176, while the sum is 41.

The spelling of 247087112081 in words is "two hundred forty-seven billion, eighty-seven million, one hundred twelve thousand, eighty-one".