Search a number
-
+
262251362246113 is a prime number
BaseRepresentation
bin111011101000010000100111…
…010010011101110111100001
31021101112222121100021112222201
4323220100213102131313201
5233333211242213333423
62325432340154133201
7106145015142642142
oct7350204722356741
91241488540245881
10262251362246113
117661a1a6122119
12254b60a2721201
13b3442747509b6
1448a9068503ac9
15204bb5e3222ad
hexee842749dde1

262251362246113 has 2 divisors, whose sum is σ = 262251362246114. Its totient is φ = 262251362246112.

The previous prime is 262251362246057. The next prime is 262251362246117. The reversal of 262251362246113 is 311642263152262.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188138065293649 + 74113296952464 = 13716343^2 + 8608908^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-262251362246113 is a prime.

It is not a weakly prime, because it can be changed into another prime (262251362246117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131125681123056 + 131125681123057.

It is an arithmetic number, because the mean of its divisors is an integer number (131125681123057).

Almost surely, 2262251362246113 is an apocalyptic number.

It is an amenable number.

262251362246113 is a deficient number, since it is larger than the sum of its proper divisors (1).

262251362246113 is an equidigital number, since it uses as much as digits as its factorization.

262251362246113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1244160, while the sum is 46.

The spelling of 262251362246113 in words is "two hundred sixty-two trillion, two hundred fifty-one billion, three hundred sixty-two million, two hundred forty-six thousand, one hundred thirteen".