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13003231332 = 22372132373961
BaseRepresentation
bin11000001110000110…
…11001000001100100
31020120012212121000110
430013003121001210
5203112311400312
65550144213020
7640142433300
oct140703310144
936505777013
1013003231332
115572a92183
12262a90a170
1312c2c63730
148b4d6ad00
1551188e43c
hex3070d9064

13003231332 has 144 divisors (see below), whose sum is σ = 39662566272. Its totient is φ = 3280273920.

The previous prime is 13003231331. The next prime is 13003231357. The reversal of 13003231332 is 23313230031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13003231299 and 13003231308.

It is not an unprimeable number, because it can be changed into a prime (13003231331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138832 + ... + 212792.

It is an arithmetic number, because the mean of its divisors is an integer number (275434488).

Almost surely, 213003231332 is an apocalyptic number.

13003231332 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 13003231332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831283136).

13003231332 is an abundant number, since it is smaller than the sum of its proper divisors (26659334940).

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

13003231332 is a wasteful number, since it uses less digits than its factorization.

13003231332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74018 (or 74009 counting only the distinct ones).

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

Adding to 13003231332 its reverse (23313230031), we get a palindrome (36316461363).

The spelling of 13003231332 in words is "thirteen billion, three million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 49 52 69 78 84 91 92 98 138 147 156 161 182 196 273 276 294 299 322 364 483 546 588 598 637 644 897 966 1092 1127 1196 1274 1794 1911 1932 2093 2254 2548 3381 3588 3822 4186 4508 6279 6762 7644 8372 12558 13524 14651 25116 29302 43953 58604 73961 87906 147922 175812 221883 295844 443766 517727 887532 961493 1035454 1553181 1701103 1922986 2070908 2884479 3106362 3402206 3624089 3845972 5103309 5768958 6212724 6730451 6804412 7248178 10206618 10872267 11537916 11907721 13460902 14496356 20191353 20413236 21744534 22114339 23815442 26921804 35723163 40382706 43489068 44228678 47113157 47630884 66343017 71446326 80765412 83354047 88457356 94226314 132686034 141339471 142892652 154800373 166708094 188452628 250062141 265372068 282678942 309600746 333416188 464401119 500124282 565357884 619201492 928802238 1000248564 1083602611 1857604476 2167205222 3250807833 4334410444 6501615666 13003231332