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11000220000021 = 327414790610621
BaseRepresentation
bin1010000000010011000000…
…1101001001111100010101
31102221121111020121211121100
42200010300031021330111
52420211422310000041
635221233054540313
72213511464146650
oct240046015117425
942847436554540
1011000220000021
11356119246220a
121297abb507699
1361a415b91795
142a05b0882897
1514121ab646b6
hexa0130349f15

11000220000021 has 48 divisors (see below), whose sum is σ = 18997785451008. Its totient is φ = 6002047468800.

The previous prime is 11000220000013. The next prime is 11000220000097. The reversal of 11000220000021 is 12000002200011.

It is not a de Polignac number, because 11000220000021 - 23 = 11000220000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000219999958 and 11000220000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000220000821) 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 47 ways as a sum of consecutive naturals, for example, 45183910 + ... + 45426711.

It is an arithmetic number, because the mean of its divisors is an integer number (395787196896).

Almost surely, 211000220000021 is an apocalyptic number.

It is an amenable number.

11000220000021 is a deficient number, since it is larger than the sum of its proper divisors (7997565450987).

11000220000021 is a wasteful number, since it uses less digits than its factorization.

11000220000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90610722 (or 90610719 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000220000021 its reverse (12000002200011), we get a palindrome (23000222200032).

The spelling of 11000220000021 in words is "eleven trillion, two hundred twenty million, twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 41 47 63 123 141 287 329 369 423 861 987 1927 2583 2961 5781 13489 17343 40467 121401 90610621 271831863 634274347 815495589 1902823041 3715035461 4258699187 5708469123 11145106383 12776097561 26005248227 29810894309 33435319149 38328292683 78015744681 89432682927 174606666667 234047234043 268298048781 523820000001 1222246666669 1571460000003 3666740000007 11000220000021