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21231220311 = 3679114567
BaseRepresentation
bin10011110001011110…
…101011011001010111
32000210122021202000000
4103301132223121113
5321440143022221
613430430422343
71351062252330
oct236136533127
960718252000
1021231220311
11900551a074
1241463619b3
1320047b0672
141055a21287
15843dc1e26
hex4f17ab657

21231220311 has 56 divisors (see below), whose sum is σ = 36427643904. Its totient is φ = 12116154960.

The previous prime is 21231220291. The next prime is 21231220343. The reversal of 21231220311 is 11302213212.

21231220311 is a `hidden beast` number, since 21 + 2 + 312 + 20 + 311 = 666.

It is not a de Polignac number, because 21231220311 - 217 = 21231089239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21231220111) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4646550 + ... + 4651116.

Almost surely, 221231220311 is an apocalyptic number.

21231220311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21231220311 is a deficient number, since it is larger than the sum of its proper divisors (15196423593).

21231220311 is an frugal number, since it uses more digits than its factorization.

21231220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5488 counting only the distinct ones).

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

Adding to 21231220311 its reverse (11302213212), we get a palindrome (32533433523).

The spelling of 21231220311 in words is "twenty-one billion, two hundred thirty-one million, two hundred twenty thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 911 1701 2733 4567 5103 6377 8199 13701 19131 24597 31969 41103 57393 73791 95907 123309 172179 221373 287721 369927 516537 664119 863163 1109781 1549611 2589489 3329343 4160537 4648833 7768467 12481611 23305401 29123759 37444833 87371277 112334499 262113831 337003497 786341493 1011010491 2359024479 3033031473 7077073437 21231220311