Search a number
-
+
11000111100212 = 22131712443564593
BaseRepresentation
bin1010000000010010100110…
…1101101111000100110100
31102221121012122201011011002
42200010221231233010310
52420211211420201322
635221214204502432
72213506002416543
oct240045155570464
942847178634132
1011000111100212
113561136a42173
121297a8ab4aa18
1361a3c9453120
142a05a021615a
15141211302c92
hexa0129b6f134

11000111100212 has 24 divisors (see below), whose sum is σ = 21950447943816. Its totient is φ = 4778328803328.

The previous prime is 11000111100211. The next prime is 11000111100221. The reversal of 11000111100212 is 21200111100011.

It can be written as a sum of positive squares in 4 ways, for example, as 1270927041316 + 9729184058896 = 1127354^2 + 3119164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11000111100193 and 11000111100202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000111100211) 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 7 ways as a sum of consecutive naturals, for example, 6221781413 + ... + 6221783180.

It is an arithmetic number, because the mean of its divisors is an integer number (914601997659).

Almost surely, 211000111100212 is an apocalyptic number.

It is an amenable number.

11000111100212 is a deficient number, since it is larger than the sum of its proper divisors (10950336843604).

11000111100212 is a wasteful number, since it uses less digits than its factorization.

11000111100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443564627 (or 12443564625 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11000111100212 its reverse (21200111100011), we get a palindrome (32200222200223).

The spelling of 11000111100212 in words is "eleven trillion, one hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 12443564593 24887129186 49774258372 161766339709 211540598081 323532679418 423081196162 647065358836 846162392324 2750027775053 5500055550106 11000111100212