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11221021021220 = 2252833741726701
BaseRepresentation
bin1010001101001001100011…
…1110001101010000100100
31110201201102020200212212022
42203102120332031100210
52432321122340134340
635510511011042312
72235456234646433
oct243223076152044
943651366625768
1011221021021220
11363689892051a
1213128612a0398
136351a380820a
142ab15939d11a
15146d4032e3b5
hexa3498f8d424

11221021021220 has 48 divisors (see below), whose sum is σ = 23576522996208. Its totient is φ = 4486051123200.

The previous prime is 11221021021073. The next prime is 11221021021229. The reversal of 11221021021220 is 2212012012211.

It can be written as a sum of positive squares in 8 ways, for example, as 501368789476 + 10719652231744 = 708074^2 + 3274088^2 .

It is a super-2 number, since 2×112210210212202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221021021229) 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 15 ways as a sum of consecutive naturals, for example, 420233870 + ... + 420260570.

It is an arithmetic number, because the mean of its divisors is an integer number (491177562421).

Almost surely, 211221021021220 is an apocalyptic number.

11221021021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221021021220 is an abundant number, since it is smaller than the sum of its proper divisors (12355501974988).

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

11221021021220 is a wasteful number, since it uses less digits than its factorization.

11221021021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36960 (or 36958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11221021021220 its reverse (2212012012211), we get a palindrome (13433033033431).

Subtracting from 11221021021220 its reverse (2212012012211), we obtain a palindrome (9009009009009).

The spelling of 11221021021220 in words is "eleven trillion, two hundred twenty-one billion, twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2833 5666 7417 11332 14165 14834 26701 28330 29668 37085 53402 56660 74170 106804 133505 148340 267010 534020 21012361 42024722 75643933 84049444 105061805 151287866 198041317 210123610 302575732 378219665 396082634 420247220 756439330 792165268 990206585 1512878660 1980413170 3960826340 561051051061 1122102102122 2244204204244 2805255255305 5610510510610 11221021021220