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13003121232 = 2432278932377
BaseRepresentation
bin11000001110000101…
…11110001001010000
31020120012122222222200
430013002332021100
5203112244334412
65550142003200
7640141464303
oct140702761120
936505588880
1013003121232
115572a17492
12262a876500
1312c2c2559a
148b4d3cb3a
1551186b9dc
hex3070be250

13003121232 has 60 divisors (see below), whose sum is σ = 36404851860. Its totient is φ = 4332685824.

The previous prime is 13003121203. The next prime is 13003121291. The reversal of 13003121232 is 23212130031.

It can be written as a sum of positive squares in 2 ways, for example, as 8313062976 + 4690058256 = 91176^2 + 68484^2 .

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 11 ways as a sum of consecutive naturals, for example, 385428 + ... + 417804.

It is an arithmetic number, because the mean of its divisors is an integer number (606747531).

Almost surely, 213003121232 is an apocalyptic number.

13003121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13003121232 is an abundant number, since it is smaller than the sum of its proper divisors (23401730628).

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

13003121232 is a wasteful number, since it uses less digits than its factorization.

13003121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35180 (or 35171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13003121232 its reverse (23212130031), we get a palindrome (36215251263).

The spelling of 13003121232 in words is "thirteen billion, three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2789 5578 8367 11156 16734 22312 25101 32377 33468 44624 50202 64754 66936 97131 100404 129508 133872 194262 200808 259016 291393 388524 401616 518032 582786 777048 1165572 1554096 2331144 4662288 90299453 180598906 270898359 361197812 541796718 722395624 812695077 1083593436 1444791248 1625390154 2167186872 3250780308 4334373744 6501560616 13003121232