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13000300304 = 24231511791307
BaseRepresentation
bin11000001101110000…
…01101011100010000
31020120000100200101212
430012320031130100
5203111034102204
65550001315252
7640105505105
oct140670153420
936500320355
1013000300304
115571370042
122629935b28
1312c24785b4
148b4806aac
155114b0c6e
hex306e0d710

13000300304 has 80 divisors (see below), whose sum is σ = 26625438720. Its totient is φ = 6137155200.

The previous prime is 13000300303. The next prime is 13000300319. The reversal of 13000300304 is 40300300031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13000300301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9946019 + ... + 9947325.

It is an arithmetic number, because the mean of its divisors is an integer number (332817984).

Almost surely, 213000300304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312719360).

13000300304 is an abundant number, since it is smaller than the sum of its proper divisors (13625138416).

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

13000300304 is a wasteful number, since it uses less digits than its factorization.

13000300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13000300304 its reverse (40300300031), we get a palindrome (53300600335).

The spelling of 13000300304 in words is "thirteen billion, three hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 23 46 92 151 179 184 302 358 368 604 716 1208 1307 1432 2416 2614 2864 3473 4117 5228 6946 8234 10456 13892 16468 20912 27029 27784 30061 32936 54058 55568 60122 65872 108116 120244 197357 216232 233953 240488 394714 432464 467906 480976 621667 789428 935812 1243334 1578856 1871624 2486668 3157712 3743248 4539211 4973336 5380919 9078422 9946672 10761838 18156844 21523676 35326903 36313688 43047352 70653806 72627376 86094704 141307612 282615224 565230448 812518769 1625037538 3250075076 6500150152 13000300304