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21221121010120 = 2354112939707933
BaseRepresentation
bin1001101001100111011010…
…11000010010100111001000
32210010201102102002002200021
410310303231120102213020
510240141323434310440
6113044503131150224
74320114106241623
oct464635530224710
983121372062607
1021221121010120
116841910638699
1224689665a5374
13bac1b25a2165
145351718b8dba
1526c023e2384a
hex134ced6129c8

21221121010120 has 32 divisors (see below), whose sum is σ = 48912095990520. Its totient is φ = 8281413076480.

The previous prime is 21221121010097. The next prime is 21221121010189. The reversal of 21221121010120 is 2101012112212.

It can be written as a sum of positive squares in 4 ways, for example, as 12427274754756 + 8793846255364 = 3525234^2 + 2965442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21221121010094 and 21221121010103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6469852327 + ... + 6469855606.

Almost surely, 221221121010120 is an apocalyptic number.

21221121010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221121010120 is an abundant number, since it is smaller than the sum of its proper divisors (27690974980400).

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

21221121010120 is a wasteful number, since it uses less digits than its factorization.

21221121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12939707985 (or 12939707981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21221121010120 its reverse (2101012112212), we get a palindrome (23322133122332).

The spelling of 21221121010120 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 12939707933 25879415866 51758831732 64698539665 103517663464 129397079330 258794158660 517588317320 530528025253 1061056050506 2122112101012 2652640126265 4244224202024 5305280252530 10610560505060 21221121010120