Search a number
-
+
11201121000223 = 7211471512928181
BaseRepresentation
bin1010001011111111011011…
…0101101001101100011111
31110122211001101022002000121
42202333312311221230133
52432004343434001343
635453420212335411
72234153135366500
oct242776665515437
943584041262017
1011201121000223
113629406879180
12130aa28914567
13633351a6766b
142aa1cc4a0ba7
15146578261aed
hexa2ff6d69b1f

11201121000223 has 48 divisors (see below), whose sum is σ = 14612986856448. Its totient is φ = 8485865640000.

The previous prime is 11201121000211. The next prime is 11201121000247. The reversal of 11201121000223 is 32200012110211.

It is not a de Polignac number, because 11201121000223 - 25 = 11201121000191 is a prime.

It is a super-2 number, since 2×112011210002232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11201121000197 and 11201121000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201121000283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2361193 + ... + 5289373.

It is an arithmetic number, because the mean of its divisors is an integer number (304437226176).

Almost surely, 211201121000223 is an apocalyptic number.

11201121000223 is a deficient number, since it is larger than the sum of its proper divisors (3411865856225).

11201121000223 is a wasteful number, since it uses less digits than its factorization.

11201121000223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928404 (or 2928397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11201121000223 its reverse (32200012110211), we get a palindrome (43401133110434).

The spelling of 11201121000223 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 7 11 47 49 77 151 329 517 539 1057 1661 2303 3619 7097 7399 11627 25333 49679 78067 81389 347753 546469 2928181 3825283 20497267 32209991 137624507 143480869 225469937 442155331 963371549 1513869577 1578289559 3095087317 4863708641 6743600843 10597087039 20781300557 21665611219 34045960487 74179609273 145469103899 228594306127 238321723409 1018283727293 1600160142889 11201121000223