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21221120320312 = 23112207891054531
BaseRepresentation
bin1001101001100111011010…
…10101101010001100111000
32210010201102100210001102211
410310303231111222030320
510240141323300222222
6113044503104304504
74320114100336543
oct464635525521470
983121370701384
1021221120320312
116841910207400
122468966312134
13bac1b23c01a3
1453517177985a
1526c023d39277
hex134ced56a338

21221120320312 has 48 divisors (see below), whose sum is σ = 43737821958600. Its totient is φ = 9645490641600.

The previous prime is 21221120320289. The next prime is 21221120320331. The reversal of 21221120320312 is 21302302112212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19596487 + ... + 20651017.

Almost surely, 221221120320312 is an apocalyptic number.

21221120320312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21221120320312 is an abundant number, since it is smaller than the sum of its proper divisors (22516701638288).

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

21221120320312 is a wasteful number, since it uses less digits than its factorization.

21221120320312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075348 (or 1075333 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 21221120320312 its reverse (21302302112212), we get a palindrome (42523422432524).

The spelling of 21221120320312 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, three hundred twenty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 20789 41578 83156 166312 228679 457358 914716 1054531 1829432 2109062 2515469 4218124 5030938 8436248 10061876 11599841 20123752 23199682 46399364 92798728 127598251 255196502 510393004 1020786008 21922644959 43845289918 87690579836 175381159672 241149094549 482298189098 964596378196 1929192756392 2652640040039 5305280080078 10610560160156 21221120320312