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10111133089 is a prime number
BaseRepresentation
bin10010110101010101…
…11010010110100001
3222002122212210001201
421122222322112201
5131201422224324
64351152401201
7505364133061
oct113252722641
928078783051
1010111133089
11431951aa42
121b62246201
13c51a2b4b5
146bcc113a1
153e2a11444
hex25aaba5a1

10111133089 has 2 divisors, whose sum is σ = 10111133090. Its totient is φ = 10111133088.

The previous prime is 10111133059. The next prime is 10111133143. The reversal of 10111133089 is 98033111101.

10111133089 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., 7747520400 + 2363612689 = 88020^2 + 48617^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111133089 - 223 = 10102744481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111133059) 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, 5055566544 + 5055566545.

It is an arithmetic number, because the mean of its divisors is an integer number (5055566545).

Almost surely, 210111133089 is an apocalyptic number.

It is an amenable number.

10111133089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111133089 is an equidigital number, since it uses as much as digits as its factorization.

10111133089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 28.

The spelling of 10111133089 in words is "ten billion, one hundred eleven million, one hundred thirty-three thousand, eighty-nine".