Search a number
-
+
11121010111009 = 415327138474909
BaseRepresentation
bin1010000111010100111111…
…0110110111001000100001
31110101011021022112020121201
42201311033312313020201
52424201312042023014
635352531014121201
72225315666150641
oct241651766671041
943334238466551
1011121010111009
1135a8437313417
1212b73ab950201
13628925978836
142a638cadc521
1514443a18be74
hexa1d4fdb7221

11121010111009 has 32 divisors (see below), whose sum is σ = 11655435617280. Its totient is φ = 10600855948800.

The previous prime is 11121010111007. The next prime is 11121010111037. The reversal of 11121010111009 is 90011101012111.

It is a cyclic number.

It is not a de Polignac number, because 11121010111009 - 21 = 11121010111007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11121010111007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265430447 + ... + 2265435355.

It is an arithmetic number, because the mean of its divisors is an integer number (364232363040).

Almost surely, 211121010111009 is an apocalyptic number.

It is an amenable number.

11121010111009 is a deficient number, since it is larger than the sum of its proper divisors (534425506271).

11121010111009 is a wasteful number, since it uses less digits than its factorization.

11121010111009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9121.

The product of its (nonzero) digits is 18, while the sum is 19.

The spelling of 11121010111009 in words is "eleven trillion, one hundred twenty-one billion, ten million, one hundred eleven thousand, nine".

Divisors: 1 41 53 271 2173 3847 4909 11111 14363 157727 201269 203891 260177 588883 1042537 1330339 8359531 10667257 18884923 42744017 54543899 55254461 70507967 774281843 1000900919 2265432901 2890826647 5117814133 41036937679 209830379453 271244149049 11121010111009