Search a number
-
+
11211120110201 = 1153907169912479
BaseRepresentation
bin1010001100100100101011…
…0101001110101001111001
31110200202212020101111021012
42203021022311032221321
52432140333222011301
635502152324123305
72234656002413564
oct243111265165171
943622766344235
1011211120110201
113632678035530
121310959536535
1363428650299b
142aa89a4714db
15146960ee5ebb
hexa324ad4ea79

11211120110201 has 32 divisors (see below), whose sum is σ = 12483154944000. Its totient is φ = 9981922841280.

The previous prime is 11211120110191. The next prime is 11211120110207. The reversal of 11211120110201 is 10201102111211.

11211120110201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11211120110201 - 26 = 11211120110137 is a prime.

It is a super-3 number, since 3×112111201102013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11211120110207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898392680 + ... + 898405158.

It is an arithmetic number, because the mean of its divisors is an integer number (390098592000).

Almost surely, 211211120110201 is an apocalyptic number.

11211120110201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211120110201 is a deficient number, since it is larger than the sum of its proper divisors (1272034833799).

11211120110201 is a wasteful number, since it uses less digits than its factorization.

11211120110201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15149.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11211120110201 its reverse (10201102111211), we get a palindrome (21412222221412).

The spelling of 11211120110201 in words is "eleven trillion, two hundred eleven billion, one hundred twenty million, one hundred ten thousand, two hundred one".

Divisors: 1 11 53 583 907 1699 9977 12479 18689 48071 90047 137269 528781 661387 990517 1540993 7275257 11318453 16950923 21201821 81672629 124502983 233220031 599878009 898398919 1123696513 6598658099 12360661643 19230051647 211530568117 1019192737291 11211120110201