Search a number
-
+
10346242561 is a prime number
BaseRepresentation
bin10011010001010111…
…10010001000000001
3222201001021120121221
421220223302020001
5132142114230221
64430351515041
7514250416324
oct115053621001
928631246557
1010346242561
11442a203196
122008b28a81
13c8b659325
147021327bb
154084a3541
hex268af2201

10346242561 has 2 divisors, whose sum is σ = 10346242562. Its totient is φ = 10346242560.

The previous prime is 10346242531. The next prime is 10346242583. The reversal of 10346242561 is 16524264301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10342890000 + 3352561 = 101700^2 + 1831^2 .

It is an emirp because it is prime and its reverse (16524264301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10346242561 - 27 = 10346242433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10346242531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5173121280 + 5173121281.

It is an arithmetic number, because the mean of its divisors is an integer number (5173121281).

Almost surely, 210346242561 is an apocalyptic number.

It is an amenable number.

10346242561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10346242561 is an equidigital number, since it uses as much as digits as its factorization.

10346242561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 10346242561 in words is "ten billion, three hundred forty-six million, two hundred forty-two thousand, five hundred sixty-one".