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13003201332 = 223211174147111
BaseRepresentation
bin11000001110000110…
…10001101100110100
31020120012211001212100
430013003101230310
5203112304420312
65550143422100
7640142246652
oct140703215464
936505731770
1013003201332
115572a71690
12262a8b4930
1312c2c52b94
148b4d5ddd2
155118855dc
hex3070d1b34

13003201332 has 144 divisors (see below), whose sum is σ = 38893405824. Its totient is φ = 3618048000.

The previous prime is 13003201303. The next prime is 13003201369. The reversal of 13003201332 is 23310230031.

13003201332 is a `hidden beast` number, since 1 + 300 + 32 + 0 + 1 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252457 + ... + 299567.

It is an arithmetic number, because the mean of its divisors is an integer number (270093096).

Almost surely, 213003201332 is an apocalyptic number.

13003201332 is a gapful number since it is divisible by the number (12) 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 13003201332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446702912).

13003201332 is an abundant number, since it is smaller than the sum of its proper divisors (25890204492).

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

13003201332 is a wasteful number, since it uses less digits than its factorization.

13003201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47190 (or 47185 counting only the distinct ones).

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

Adding to 13003201332 its reverse (23310230031), we get a palindrome (36313431363).

The spelling of 13003201332 in words is "thirteen billion, three million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 41 44 51 66 68 82 99 102 123 132 153 164 187 198 204 246 306 369 374 396 451 492 561 612 697 738 748 902 1122 1353 1394 1476 1683 1804 2091 2244 2706 2788 3366 4059 4182 5412 6273 6732 7667 8118 8364 12546 15334 16236 23001 25092 30668 46002 47111 69003 92004 94222 138006 141333 188444 276012 282666 423999 518221 565332 800887 847998 1036442 1554663 1601774 1695996 1931551 2072884 2402661 3109326 3203548 3863102 4663989 4805322 5794653 6218652 7207983 7726204 8809757 9327978 9610644 11589306 14415966 17383959 17619514 18655956 21247061 23178612 26429271 28831932 32836367 34767918 35239028 42494122 52858542 63741183 65672734 69535836 79287813 84988244 98509101 105717084 127482366 131345468 158575626 191223549 197018202 254964732 295527303 317151252 361200037 382447098 394036404 591054606 722400074 764894196 1083600111 1182109212 1444800148 2167200222 3250800333 4334400444 6501600666 13003201332