Search a number
-
+
11000201201121 = 3111761531892329
BaseRepresentation
bin1010000000010010111100…
…0101011100010111100001
31102221121102221020202100210
42200010233011130113201
52420211403001413441
635221231144004333
72213511145312446
oct240045705342741
942847387222323
1011000201201121
113561182892330
121297ab51606a9
1361a41200bc82
142a05ac18b9cd
1514121919e616
hexa012f15c5e1

11000201201121 has 16 divisors (see below), whose sum is σ = 16000391943360. Its totient is φ = 6666747237120.

The previous prime is 11000201201089. The next prime is 11000201201153. The reversal of 11000201201121 is 12110210200011.

It is an interprime number because it is at equal distance from previous prime (11000201201089) and next prime (11000201201153).

It is not a de Polignac number, because 11000201201121 - 25 = 11000201201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000201201097 and 11000201201106.

It is not an unprimeable number, because it can be changed into a prime (11000201201191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866885 + ... + 6759213.

It is an arithmetic number, because the mean of its divisors is an integer number (1000024496460).

Almost surely, 211000201201121 is an apocalyptic number.

11000201201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11000201201121 is a deficient number, since it is larger than the sum of its proper divisors (5000190742239).

11000201201121 is a wasteful number, since it uses less digits than its factorization.

11000201201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068496.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000201201121 its reverse (12110210200011), we get a palindrome (23110411401132).

The spelling of 11000201201121 in words is "eleven trillion, two hundred one million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 176153 528459 1892329 1937683 5676987 5813049 20815619 62446857 333339430337 1000018291011 3666733733707 11000201201121