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21233131231120 = 2451512337175209
BaseRepresentation
bin1001101001111101110010…
…01111101001011110010000
32210011212102102102112121021
410310332321033221132100
510240340423043343440
6113054211004005224
74321020533365324
oct464767117513620
983155372375537
1021233131231120
116846a14040476
12246b158830814
13bb03778a4cc3
145359909d7984
1526c4c851284a
hex134fb93e9790

21233131231120 has 80 divisors (see below), whose sum is σ = 49696751168640. Its totient is φ = 8436532608000.

The previous prime is 21233131231097. The next prime is 21233131231121. The reversal of 21233131231120 is 2113213133212.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21233131231121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282284076 + ... + 282359284.

It is an arithmetic number, because the mean of its divisors is an integer number (621209389608).

Almost surely, 221233131231120 is an apocalyptic number.

21233131231120 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 21233131231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848375584320).

21233131231120 is an abundant number, since it is smaller than the sum of its proper divisors (28463619937520).

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

21233131231120 is a wasteful number, since it uses less digits than its factorization.

21233131231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98744 (or 98738 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 21233131231120 its reverse (2113213133212), we get a palindrome (23346344364332).

The spelling of 21233131231120 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 23371 46742 75209 93484 116855 150418 186968 233710 300836 373936 376045 467420 601672 752090 934840 1203344 1504180 1869680 3008360 3529021 6016720 7058042 11356559 14116084 17645105 22713118 28232168 35290210 45426236 56464336 56782795 70580420 90852472 113565590 141160840 181704944 227131180 282321680 454262360 908524720 1757709539 3515419078 7030838156 8788547695 14061676312 17577095390 28123352624 35154190780 70308381560 140616763120 265414140389 530828280778 1061656561556 1327070701945 2123313123112 2654141403890 4246626246224 5308282807780 10616565615560 21233131231120