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247041550081 is a prime number
BaseRepresentation
bin1110011000010011010…
…0101110011100000001
3212121122202021000210001
43212010310232130001
513021420114100311
6305253405440001
723563630346224
oct3460464563401
9777582230701
10247041550081
1195851573017
123ba65870001
131a3b0194901
14bd579435bb
15665d2314c1
hex3984d2e701

247041550081 has 2 divisors, whose sum is σ = 247041550082. Its totient is φ = 247041550080.

The previous prime is 247041550069. The next prime is 247041550123. The reversal of 247041550081 is 180055140742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217677300481 + 29364249600 = 466559^2 + 171360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247041550081 is a prime.

It is a super-2 number, since 2×2470415500812 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247041550081.

It is not a weakly prime, because it can be changed into another prime (247041550001) 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, 123520775040 + 123520775041.

It is an arithmetic number, because the mean of its divisors is an integer number (123520775041).

Almost surely, 2247041550081 is an apocalyptic number.

It is an amenable number.

247041550081 is a deficient number, since it is larger than the sum of its proper divisors (1).

247041550081 is an equidigital number, since it uses as much as digits as its factorization.

247041550081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 247041550081 in words is "two hundred forty-seven billion, forty-one million, five hundred fifty thousand, eighty-one".