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11340968257 is a prime number
BaseRepresentation
bin10101000111111100…
…10111000101000001
31002021101000212202101
422203332113011001
5141211241441012
65113204150401
7551016432253
oct124376270501
932241025671
1011340968257
11489a754343
122246098401
1310b976a908
147982a9cd3
15465991d57
hex2a3f97141

11340968257 has 2 divisors, whose sum is σ = 11340968258. Its totient is φ = 11340968256.

The previous prime is 11340968213. The next prime is 11340968281. The reversal of 11340968257 is 75286904311.

11340968257 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., 10806849936 + 534118321 = 103956^2 + 23111^2 .

It is an emirp because it is prime and its reverse (75286904311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11340968257 - 211 = 11340966209 is a prime.

It is a super-2 number, since 2×113409682572 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11340968357) 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, 5670484128 + 5670484129.

It is an arithmetic number, because the mean of its divisors is an integer number (5670484129).

It is a 1-persistent number, because it is pandigital, but 2⋅11340968257 = 22681936514 is not.

Almost surely, 211340968257 is an apocalyptic number.

It is an amenable number.

11340968257 is a deficient number, since it is larger than the sum of its proper divisors (1).

11340968257 is an equidigital number, since it uses as much as digits as its factorization.

11340968257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 11340968257 in words is "eleven billion, three hundred forty million, nine hundred sixty-eight thousand, two hundred fifty-seven".