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13313202030 = 2325318775441
BaseRepresentation
bin11000110011000011…
…10101011101101110
31021100211010201212200
430121201311131232
5204231134431110
610041020042330
7650625231042
oct143141653556
937324121780
1013313202030
115711a56807
1226b66933a6
13134224294b
149041b8022
1552dbbc6c0
hex31987576e

13313202030 has 96 divisors (see below), whose sum is σ = 35778233088. Its totient is φ = 3431116800.

The previous prime is 13313202013. The next prime is 13313202073. The reversal of 13313202030 is 3020231331.

It is a super-2 number, since 2×133132020302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13313201994 and 13313202012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444110 + ... + 2449550.

It is an arithmetic number, because the mean of its divisors is an integer number (372689928).

Almost surely, 213313202030 is an apocalyptic number.

13313202030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313202030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889116544).

13313202030 is an abundant number, since it is smaller than the sum of its proper divisors (22465031058).

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

13313202030 is a wasteful number, since it uses less digits than its factorization.

13313202030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13313202030 its reverse (3020231331), we get a palindrome (16333433361).

The spelling of 13313202030 in words is "thirteen billion, three hundred thirteen million, two hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 877 930 1395 1754 2631 2790 4385 5262 5441 7893 8770 10882 13155 15786 16323 26310 27187 27205 32646 39465 48969 54374 54410 78930 81561 81615 97938 135935 163122 163230 168671 244683 244845 271870 337342 407805 489366 489690 506013 815610 843355 1012026 1223415 1518039 1686710 2446830 2530065 3036078 4771757 5060130 7590195 9543514 14315271 15180390 23858785 28630542 42945813 47717570 71576355 85891626 143152710 147924467 214729065 295848934 429458130 443773401 739622335 887546802 1331320203 1479244670 2218867005 2662640406 4437734010 6656601015 13313202030