Search a number
-
+
11211001110001 = 711290595010407
BaseRepresentation
bin1010001100100100001110…
…1111010001110111110001
31110200202112221110122200101
42203021003233101313301
52432140112241010001
635502132433352401
72234653026055330
oct243110357216761
943622487418611
1011211001110001
113632616946960
121310925708701
13634267968b74
142aa888735d17
1514695583ba01
hexa3243bd1df1

11211001110001 has 16 divisors (see below), whose sum is σ = 13977835822080. Its totient is φ = 8735542652880.

The previous prime is 11211001109899. The next prime is 11211001110011. The reversal of 11211001110001 is 10001110011211.

It is a cyclic number.

It is not a de Polignac number, because 11211001110001 - 233 = 11202411175409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11211001110001.

It is not an unprimeable number, because it can be changed into a prime (11211001110011) 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 15 ways as a sum of consecutive naturals, for example, 267661 + ... + 4742746.

It is an arithmetic number, because the mean of its divisors is an integer number (873614738880).

Almost surely, 211211001110001 is an apocalyptic number.

11211001110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211001110001 is a deficient number, since it is larger than the sum of its proper divisors (2766834712079).

11211001110001 is a wasteful number, since it uses less digits than its factorization.

11211001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039484.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11211001110001 its reverse (10001110011211), we get a palindrome (21212111121212).

The spelling of 11211001110001 in words is "eleven trillion, two hundred eleven billion, one million, one hundred ten thousand, one".

Divisors: 1 7 11 77 29059 203413 319649 2237543 5010407 35072849 55114477 385801339 145597417013 1019181919091 1601571587143 11211001110001