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12331333020 = 22352941172853
BaseRepresentation
bin10110111110000000…
…10011010110011100
31011211101120121210210
423133000103112130
5200223310124040
65355343132420
7614403413136
oct133700232634
934741517723
1012331333020
115258797016
1224818a4110
1312169b3276
1484da2a056
154c28bd480
hex2df01359c

12331333020 has 96 divisors (see below), whose sum is σ = 36589734720. Its totient is φ = 3097507840.

The previous prime is 12331333019. The next prime is 12331333043. The reversal of 12331333020 is 2033313321.

12331333020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15087 + ... + 157766.

It is an arithmetic number, because the mean of its divisors is an integer number (381143070).

Almost surely, 212331333020 is an apocalyptic number.

12331333020 is a gapful number since it is divisible by the number (10) 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 12331333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294867360).

12331333020 is an abundant number, since it is smaller than the sum of its proper divisors (24258401700).

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

12331333020 is a wasteful number, since it uses less digits than its factorization.

12331333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172935 (or 172933 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12331333020 its reverse (2033313321), we get a palindrome (14364646341).

The spelling of 12331333020 in words is "twelve billion, three hundred thirty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 820 870 1189 1230 1740 2378 2460 3567 4756 5945 7134 11890 14268 17835 23780 35670 71340 172853 345706 518559 691412 864265 1037118 1728530 2074236 2592795 3457060 5012737 5185590 7086973 10025474 10371180 14173946 15038211 20050948 21260919 25063685 28347892 30076422 35434865 42521838 50127370 60152844 70869730 75191055 85043676 100254740 106304595 141739460 150382110 205522217 212609190 300764220 411044434 425218380 616566651 822088868 1027611085 1233133302 2055222170 2466266604 3082833255 4110444340 6165666510 12331333020