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11135540441 is a prime number
BaseRepresentation
bin10100101111011101…
…01101110011011001
31001202001111001202202
422113232231303121
5140301144243231
65040545135545
7542643350324
oct122756556331
931661431682
1011135540441
1147a47a4393
1221a932a5b5
131086032bac
14778cb37bb
154529145cb
hex297badcd9

11135540441 has 2 divisors, whose sum is σ = 11135540442. Its totient is φ = 11135540440.

The previous prime is 11135540399. The next prime is 11135540443. The reversal of 11135540441 is 14404553111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10481664400 + 653876041 = 102380^2 + 25571^2 .

It is a cyclic number.

It is not a de Polignac number, because 11135540441 - 210 = 11135539417 is a prime.

Together with 11135540443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11135540443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5567770220 + 5567770221.

It is an arithmetic number, because the mean of its divisors is an integer number (5567770221).

Almost surely, 211135540441 is an apocalyptic number.

It is an amenable number.

11135540441 is a deficient number, since it is larger than the sum of its proper divisors (1).

11135540441 is an equidigital number, since it uses as much as digits as its factorization.

11135540441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 11135540441 in words is "eleven billion, one hundred thirty-five million, five hundred forty thousand, four hundred forty-one".