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11633124257 is a prime number
BaseRepresentation
bin10101101010110001…
…10110001110100001
31010000201202221102222
422311120312032201
5142311034434012
65202202120425
7561164632106
oct126530661641
933021687388
1011633124257
114a2a660487
122307ab0115
1311351502a1
147c4ddaaad
15481451972
hex2b56363a1

11633124257 has 2 divisors, whose sum is σ = 11633124258. Its totient is φ = 11633124256.

The previous prime is 11633124233. The next prime is 11633124311. The reversal of 11633124257 is 75242133611.

11633124257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9885131776 + 1747992481 = 99424^2 + 41809^2 .

It is an emirp because it is prime and its reverse (75242133611) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11633124257 is a prime.

It is not a weakly prime, because it can be changed into another prime (11633124857) 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, 5816562128 + 5816562129.

It is an arithmetic number, because the mean of its divisors is an integer number (5816562129).

Almost surely, 211633124257 is an apocalyptic number.

It is an amenable number.

11633124257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11633124257 is an equidigital number, since it uses as much as digits as its factorization.

11633124257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 35.

Adding to 11633124257 its reverse (75242133611), we get a palindrome (86875257868).

The spelling of 11633124257 in words is "eleven billion, six hundred thirty-three million, one hundred twenty-four thousand, two hundred fifty-seven".