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13001143000 = 235330742349
BaseRepresentation
bin11000001101110110…
…11011001011011000
31020120001221111100211
430012323123023120
5203111243034000
65550031340504
7640115614666
oct140673331330
936501844324
1013001143000
11557189618a
12262a081734
1312c26b2031
148b4985c36
155115ca7ba
hex306edb2d8

13001143000 has 64 divisors (see below), whose sum is σ = 30522492000. Its totient is φ = 5183395200.

The previous prime is 13001142983. The next prime is 13001143013. The reversal of 13001143000 is 34110031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285826 + ... + 328174.

Almost surely, 213001143000 is an apocalyptic number.

13001143000 is a gapful number since it is divisible by the number (10) 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 13001143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15261246000).

13001143000 is an abundant number, since it is smaller than the sum of its proper divisors (17521349000).

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

13001143000 is a wasteful number, since it uses less digits than its factorization.

13001143000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42677 (or 42663 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13001143000 its reverse (34110031), we get a palindrome (13035253031).

The spelling of 13001143000 in words is "thirteen billion, one million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 307 500 614 1000 1228 1535 2456 3070 6140 7675 12280 15350 30700 38375 42349 61400 76750 84698 153500 169396 211745 307000 338792 423490 846980 1058725 1693960 2117450 4234900 5293625 8469800 10587250 13001143 21174500 26002286 42349000 52004572 65005715 104009144 130011430 260022860 325028575 520045720 650057150 1300114300 1625142875 2600228600 3250285750 6500571500 13001143000