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21233202023200 = 255242163043949
BaseRepresentation
bin1001101001111101111010…
…11101101100101100100000
32210011212121100122011002011
410310332331131230230200
510240341044204220300
6113054222013202304
74321022353201246
oct464767535545440
983155540564064
1021233202023200
116846a4aaa2622
12246b178490394
13bb03894601cb
1453599a184796
1526c4ce847eba
hex134fbd76cb20

21233202023200 has 72 divisors (see below), whose sum is σ = 51958680095700. Its totient is φ = 8473106611200.

The previous prime is 21233202023123. The next prime is 21233202023221. The reversal of 21233202023200 is 232020233212.

It can be written as a sum of positive squares in 6 ways, for example, as 88691987344 + 21144510035856 = 297812^2 + 4598316^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31185175 + ... + 31858774.

Almost surely, 221233202023200 is an apocalyptic number.

21233202023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233202023200 is an abundant number, since it is smaller than the sum of its proper divisors (30725478072500).

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

21233202023200 is a wasteful number, since it uses less digits than its factorization.

21233202023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63044390 (or 63044377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21233202023200 its reverse (232020233212), we get a palindrome (21465222256412).

The spelling of 21233202023200 in words is "twenty-one trillion, two hundred thirty-three billion, two hundred two million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 421 800 842 1684 2105 3368 4210 6736 8420 10525 13472 16840 21050 33680 42100 67360 84200 168400 336800 63043949 126087898 252175796 315219745 504351592 630439490 1008703184 1260878980 1576098725 2017406368 2521757960 3152197450 5043515920 6304394900 10087031840 12608789800 25217579600 26541502529 50435159200 53083005058 106166010116 132707512645 212332020232 265415025290 424664040464 530830050580 663537563225 849328080928 1061660101160 1327075126450 2123320202320 2654150252900 4246640404640 5308300505800 10616601011600 21233202023200