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11833824053 is a prime number
BaseRepresentation
bin10110000010101100…
…11101001100110101
31010112201102112210202
423001112131030311
5143213424332203
65234131530245
7566152562522
oct130126351465
933481375722
1011833824053
115022981187
122363159985
1311678c0c6c
14803922149
15493d98388
hex2c159d335

11833824053 has 2 divisors, whose sum is σ = 11833824054. Its totient is φ = 11833824052.

The previous prime is 11833823999. The next prime is 11833824089. The reversal of 11833824053 is 35042833811.

11833824053 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., 11248087249 + 585736804 = 106057^2 + 24202^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11833824053 is a prime.

It is a super-2 number, since 2×118338240532 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11833823998 and 11833824016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11833824953) 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, 5916912026 + 5916912027.

It is an arithmetic number, because the mean of its divisors is an integer number (5916912027).

Almost surely, 211833824053 is an apocalyptic number.

It is an amenable number.

11833824053 is a deficient number, since it is larger than the sum of its proper divisors (1).

11833824053 is an equidigital number, since it uses as much as digits as its factorization.

11833824053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 11833824053 in words is "eleven billion, eight hundred thirty-three million, eight hundred twenty-four thousand, fifty-three".