Search a number
-
+
18011366311081 = 1113125953610567
BaseRepresentation
bin1000001100001100110010…
…00101110100010010101001
32100202212111002100002021011
410012012121011310102221
54330044234233423311
6102150150224343521
73536164306406653
oct406063105642251
970685432302234
1018011366311081
1158146397aaa80
12202a882174ba1
13a08606821530
14463a7d1936d3
152137b4ba4321
hex1061991744a9

18011366311081 has 8 divisors (see below), whose sum is σ = 21160206575424. Its totient is φ = 15114433267920.

The previous prime is 18011366311067. The next prime is 18011366311123.

18011366311081 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 18011366311081 - 231 = 18009218827433 is a prime.

It is a super-3 number, since 3×180113663110813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18011366311021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62976805141 + ... + 62976805426.

It is an arithmetic number, because the mean of its divisors is an integer number (2645025821928).

Almost surely, 218011366311081 is an apocalyptic number.

18011366311081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18011366311081 is a deficient number, since it is larger than the sum of its proper divisors (3148840264343).

18011366311081 is a wasteful number, since it uses less digits than its factorization.

18011366311081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125953610591.

The product of its (nonzero) digits is 20736, while the sum is 40.

The spelling of 18011366311081 in words is "eighteen trillion, eleven billion, three hundred sixty-six million, three hundred eleven thousand, eighty-one".

Divisors: 1 11 13 143 125953610567 1385489716237 1637396937371 18011366311081