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21424011320 = 23517193163243
BaseRepresentation
bin10011111100111110…
…000111100000111000
32001022002001112112202
4103330332013200320
5322334021330240
613501514525332
71355623043255
oct237476074070
961262045482
1021424011320
1190a4328888
12419aa36848
13203571259a
14107348842c
15855ca5315
hex4fcf87838

21424011320 has 64 divisors (see below), whose sum is σ = 51304324320. Its totient is φ = 8023670784.

The previous prime is 21424011313. The next prime is 21424011353. The reversal of 21424011320 is 2311042412.

It is a super-2 number, since 2×214240113202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21424011292 and 21424011301.

It is a congruent number.

It is an unprimeable number.

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, 49619 + ... + 212861.

Almost surely, 221424011320 is an apocalyptic number.

21424011320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25652162160).

21424011320 is an abundant number, since it is smaller than the sum of its proper divisors (29880313000).

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

21424011320 is a wasteful number, since it uses less digits than its factorization.

21424011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163464 (or 163460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21424011320 its reverse (2311042412), we get a palindrome (23735053732).

The spelling of 21424011320 in words is "twenty-one billion, four hundred twenty-four million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 193 340 386 680 772 965 1544 1930 3281 3860 6562 7720 13124 16405 26248 32810 65620 131240 163243 326486 652972 816215 1305944 1632430 2775131 3264860 5550262 6529720 11100524 13875655 22201048 27751310 31505899 55502620 63011798 111005240 126023596 157529495 252047192 315058990 535600283 630117980 1071200566 1260235960 2142401132 2678001415 4284802264 5356002830 10712005660 21424011320