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13331333020 = 2251728092851
BaseRepresentation
bin11000110101001101…
…11111111110011100
31021102002020212220211
430122212333332130
5204300310124040
610042504422204
7651235314055
oct143246777634
937362225824
1013331333020
11572120a8a5
122700777964
131345c20445
1490677772c
1553059e8ea
hex31a9bff9c

13331333020 has 72 divisors (see below), whose sum is σ = 29786687280. Its totient is φ = 5010892800.

The previous prime is 13331333017. The next prime is 13331333021. The reversal of 13331333020 is 2033313331.

It is a junction number, because it is equal to n+sod(n) for n = 13331332982 and 13331333000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331333021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4674595 + ... + 4677445.

It is an arithmetic number, because the mean of its divisors is an integer number (413703990).

Almost surely, 213331333020 is an apocalyptic number.

13331333020 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 13331333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893343640).

13331333020 is an abundant number, since it is smaller than the sum of its proper divisors (16455354260).

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

13331333020 is a wasteful number, since it uses less digits than its factorization.

13331333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13331333020 its reverse (2033313331), we get a palindrome (15364646351).

The spelling of 13331333020 in words is "thirteen billion, three hundred thirty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 809 1156 1445 1618 2851 2890 3236 4045 5702 5780 8090 11404 13753 14255 16180 27506 28510 48467 55012 57020 68765 96934 137530 193868 233801 242335 275060 467602 484670 823939 935204 969340 1169005 1647878 2306459 2338010 3295756 4119695 4612918 4676020 8239390 9225836 11532295 16478780 23064590 39209803 46129180 78419606 156839212 196049015 392098030 666566651 784196060 1333133302 2666266604 3332833255 6665666510 13331333020