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21020300224 = 267114339851
BaseRepresentation
bin10011100100111010…
…000101001111000000
32000020221101220000221
4103210322011033000
5321022144101344
613353453552424
71342621414060
oct234472051700
960227356027
1021020300224
118a07458750
1240a77a5714
131c9cba1a91
1410359d93a0
1583060c184
hex4e4e853c0

21020300224 has 112 divisors (see below), whose sum is σ = 52130163456. Its totient is φ = 8169984000.

The previous prime is 21020300167. The next prime is 21020300243. The reversal of 21020300224 is 42200302012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21020300198 and 21020300207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2128899 + ... + 2138749.

It is an arithmetic number, because the mean of its divisors is an integer number (465447888).

Almost surely, 221020300224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26065081728).

21020300224 is an abundant number, since it is smaller than the sum of its proper divisors (31109863232).

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

21020300224 is a wasteful number, since it uses less digits than its factorization.

21020300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21020300224 its reverse (42200302012), we get a palindrome (63220602236).

The spelling of 21020300224 in words is "twenty-one billion, twenty million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 433 448 616 704 866 1232 1732 2464 3031 3464 4763 4928 6062 6928 9526 9851 12124 13856 19052 19702 24248 27712 33341 38104 39404 48496 66682 68957 76208 78808 96992 108361 133364 137914 152416 157616 193984 216722 266728 275828 304832 315232 433444 533456 551656 630464 758527 866888 1066912 1103312 1517054 1733776 2133824 2206624 3034108 3467552 4265483 4413248 6068216 6935104 8530966 12136432 17061932 24272864 29858381 34123864 46920313 48545728 59716762 68247728 93840626 119433524 136495456 187681252 238867048 272990912 328442191 375362504 477734096 656884382 750725008 955468192 1313768764 1501450016 1910936384 2627537528 3002900032 5255075056 10510150112 21020300224