Search a number
-
+
11120221000100 = 2252433911661237
BaseRepresentation
bin1010000111010010000011…
…0100101001000110100100
31110101002020022200020221202
42201310200310221012210
52424143203034000400
635352320424502032
72225260304626022
oct241644064510644
943332208606852
1011120221000100
1135a807193a743
1212b720b61a918
1362882b3390c4
142a6315da9712
151443e0c664d5
hexa1d20d291a4

11120221000100 has 72 divisors (see below), whose sum is σ = 24698413658688. Its totient is φ = 4343527036800.

The previous prime is 11120221000093. The next prime is 11120221000103. The reversal of 11120221000100 is 100012202111.

It is not an unprimeable number, because it can be changed into a prime (11120221000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16486682 + ... + 17147918.

Almost surely, 211120221000100 is an apocalyptic number.

11120221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120221000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349206829344).

11120221000100 is an abundant number, since it is smaller than the sum of its proper divisors (13578192658588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11120221000100 is a wasteful number, since it uses less digits than its factorization.

11120221000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665205 (or 665198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11120221000100 its reverse (100012202111), we get a palindrome (11220233202211).

The spelling of 11120221000100 in words is "eleven trillion, one hundred twenty billion, two hundred twenty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 3911 4300 7822 15644 19555 39110 78220 97775 168173 195550 336346 391100 661237 672692 840865 1322474 1681730 2644948 3306185 3363460 4204325 6612370 8408650 13224740 16530925 16817300 28433191 33061850 56866382 66123700 113732764 142165955 284331910 568663820 710829775 1421659550 2586097907 2843319100 5172195814 10344391628 12930489535 25860979070 51721958140 64652447675 111202210001 129304895350 222404420002 258609790700 444808840004 556011050005 1112022100010 2224044200020 2780055250025 5560110500050 11120221000100