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13003132312 = 23171312832579
BaseRepresentation
bin11000001110000110…
…00000110110011000
31020120012200120012001
430013003000312120
5203112300213222
65550142130344
7640141541512
oct140703006630
936505616161
1013003132312
115572a24845
12262a8809b4
1312c2c2a641
148b4d42bb2
1551186ee27
hex3070c0d98

13003132312 has 64 divisors (see below), whose sum is σ = 26114140800. Its totient is φ = 6048606720.

The previous prime is 13003132301. The next prime is 13003132313. The reversal of 13003132312 is 21323130031.

It is a self number, because there is not a number n which added to its sum of digits gives 13003132312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003132313) 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 15 ways as a sum of consecutive naturals, for example, 5040639 + ... + 5043217.

It is an arithmetic number, because the mean of its divisors is an integer number (408033450).

Almost surely, 213003132312 is an apocalyptic number.

It is an amenable number.

13003132312 is an abundant number, since it is smaller than the sum of its proper divisors (13111008488).

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

13003132312 is a wasteful number, since it uses less digits than its factorization.

13003132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13003132312 its reverse (21323130031), we get a palindrome (34326262343).

The spelling of 13003132312 in words is "thirteen billion, three million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 17 34 68 131 136 262 283 524 566 1048 1132 2227 2264 2579 4454 4811 5158 8908 9622 10316 17816 19244 20632 37073 38488 43843 74146 87686 148292 175372 296584 337849 350744 630241 675698 729857 1260482 1351396 1459714 2520964 2702792 2919428 5041928 5743433 5838856 11486866 12407569 22973732 24815138 45947464 49630276 95611267 99260552 191222534 382445068 764890136 1625391539 3250783078 6501566156 13003132312