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21321212302224 = 2433421117231967
BaseRepresentation
bin1001101100100001110110…
…10010010001001110010000
32210111021202221111120011000
410312100323102101032100
510243311320322132344
6113202455115022000
74330256342214102
oct466207322211620
983437687446130
1021321212302224
11688030355790a
12248423aa3a900
13bb8773c969a3
14539d48b01572
1526e931192a69
hex13643b491390

21321212302224 has 80 divisors (see below), whose sum is σ = 61345144215040. Its totient is φ = 7090189303680.

The previous prime is 21321212302223. The next prime is 21321212302297. The reversal of 21321212302224 is 42220321212312.

21321212302224 is a `hidden beast` number, since 2 + 1 + 321 + 2 + 12 + 302 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21321212302223) 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, 58434112 + ... + 58797855.

It is an arithmetic number, because the mean of its divisors is an integer number (766814302688).

Almost surely, 221321212302224 is an apocalyptic number.

21321212302224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21321212302224 is an abundant number, since it is smaller than the sum of its proper divisors (40023931912816).

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

21321212302224 is a wasteful number, since it uses less digits than its factorization.

21321212302224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117232405 (or 117232393 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 21321212302224 its reverse (42220321212312), we get a palindrome (63541533514536).

The spelling of 21321212302224 in words is "twenty-one trillion, three hundred twenty-one billion, two hundred twelve million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 421 432 842 1263 1684 2526 3368 3789 5052 6736 7578 10104 11367 15156 20208 22734 30312 45468 60624 90936 181872 117231967 234463934 351695901 468927868 703391802 937855736 1055087703 1406783604 1875711472 2110175406 2813567208 3165263109 4220350812 5627134416 6330526218 8440701624 12661052436 16881403248 25322104872 49354658107 50644209744 98709316214 148063974321 197418632428 296127948642 394837264856 444191922963 592255897284 789674529712 888383845926 1184511794568 1332575768889 1776767691852 2369023589136 2665151537778 3553535383704 5330303075556 7107070767408 10660606151112 21321212302224