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11819248081 is a prime number
BaseRepresentation
bin10110000000111101…
…10110100111010001
31010111201000000022221
423000132312213101
5143201211414311
65232451301041
7565614644134
oct130036664721
933451000287
1011819248081
115015726023
12235a2aa781
131164889624
14801a0a21b
15492969671
hex2c07b69d1

11819248081 has 2 divisors, whose sum is σ = 11819248082. Its totient is φ = 11819248080.

The previous prime is 11819248039. The next prime is 11819248087. The reversal of 11819248081 is 18084291811.

11819248081 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., 6370593856 + 5448654225 = 79816^2 + 73815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11819248081 is a prime.

It is a super-2 number, since 2×118192480812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11819248087) 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, 5909624040 + 5909624041.

It is an arithmetic number, because the mean of its divisors is an integer number (5909624041).

Almost surely, 211819248081 is an apocalyptic number.

It is an amenable number.

11819248081 is a deficient number, since it is larger than the sum of its proper divisors (1).

11819248081 is an equidigital number, since it uses as much as digits as its factorization.

11819248081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 43.

The spelling of 11819248081 in words is "eleven billion, eight hundred nineteen million, two hundred forty-eight thousand, eighty-one".