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11230022003211 = 32111033133518551
BaseRepresentation
bin1010001101101011000101…
…1110001110101000001011
31110202120122112122010220200
42203122301132032220023
52432443041113100321
635515000105223243
72236225262020434
oct243326136165013
943676575563820
1011230022003211
11363a697722510
121314553791b23
13635ca954046b
142ab77098c48b
151471ba651d26
hexa36b178ea0b

11230022003211 has 48 divisors (see below), whose sum is σ = 17924686121472. Its totient is φ = 6718460112000.

The previous prime is 11230022003203. The next prime is 11230022003257.

11230022003211 is a `hidden beast` number, since 1 + 1 + 230 + 0 + 220 + 0 + 3 + 211 = 666.

11230022003211 is nontrivially palindromic in base 10.

11230022003211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11230022003211 - 23 = 11230022003203 is a prime.

It is a super-2 number, since 2×112300220032112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11230022003201) 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, 1432386 + ... + 4950936.

It is an arithmetic number, because the mean of its divisors is an integer number (373430960864).

Almost surely, 211230022003211 is an apocalyptic number.

11230022003211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11230022003211 is a deficient number, since it is larger than the sum of its proper divisors (6694664118261).

11230022003211 is a wasteful number, since it uses less digits than its factorization.

11230022003211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3518984 (or 3518981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1123002 and 2003211, that added together give a palindrome (3126213).

The spelling of 11230022003211 in words is "eleven trillion, two hundred thirty billion, twenty-two million, three thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 103 309 313 927 939 1133 2817 3399 3443 10197 10329 30987 32239 96717 290151 354629 1063887 3191661 3518551 10555653 31666959 38704061 116112183 348336549 362410753 1087232259 1101306463 3261696777 3303919389 3986518283 9911758167 11959554849 12114371093 35878664547 36343113279 109029339837 113434565689 340303697067 1020911091201 1247780222579 3743340667737 11230022003211