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11827355521 is a prime number
BaseRepresentation
bin10110000001111011…
…10001111110000001
31010112021020220122111
423000331301332001
5143210300334041
65233341135321
7566043602032
oct130075617601
933467226574
1011827355521
11501a263293
122360b5a541
131166467927
14802b1aa89
1549351b981
hex2c0f71f81

11827355521 has 2 divisors, whose sum is σ = 11827355522. Its totient is φ = 11827355520.

The previous prime is 11827355513. The next prime is 11827355591. The reversal of 11827355521 is 12555372811.

It is a happy number.

11827355521 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., 10922549121 + 904806400 = 104511^2 + 30080^2 .

It is a cyclic number.

It is not a de Polignac number, because 11827355521 - 23 = 11827355513 is a prime.

It is not a weakly prime, because it can be changed into another prime (11827355591) 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, 5913677760 + 5913677761.

It is an arithmetic number, because the mean of its divisors is an integer number (5913677761).

Almost surely, 211827355521 is an apocalyptic number.

It is an amenable number.

11827355521 is a deficient number, since it is larger than the sum of its proper divisors (1).

11827355521 is an equidigital number, since it uses as much as digits as its factorization.

11827355521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84000, while the sum is 40.

The spelling of 11827355521 in words is "eleven billion, eight hundred twenty-seven million, three hundred fifty-five thousand, five hundred twenty-one".