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13131022301320 = 23571128439149911
BaseRepresentation
bin1011111100010100110111…
…1010110111100010001000
31201111022110112002001200011
42333011031322313202020
53210114313202120240
643532150335121304
72523453654652150
oct277051572674210
951438415061604
1013131022301320
114202920844a50
121580a68973234
137433335a7b71
1433578b1a5760
1517b87c1346ea
hexbf14deb7888

13131022301320 has 128 divisors (see below), whose sum is σ = 36836616499200. Its totient is φ = 4092614956800.

The previous prime is 13131022301303. The next prime is 13131022301321. The reversal of 13131022301320 is 2310322013131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13131022301291 and 13131022301300.

It is not an unprimeable number, because it can be changed into a prime (13131022301321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87517165 + ... + 87667075.

It is an arithmetic number, because the mean of its divisors is an integer number (287786066400).

Almost surely, 213131022301320 is an apocalyptic number.

13131022301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131022301320 is an abundant number, since it is smaller than the sum of its proper divisors (23705594197880).

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

13131022301320 is a wasteful number, since it uses less digits than its factorization.

13131022301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178379 (or 178375 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13131022301320 its reverse (2310322013131), we get a palindrome (15441344314451).

The spelling of 13131022301320 in words is "thirteen trillion, one hundred thirty-one billion, twenty-two million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 28439 56878 113756 142195 149911 199073 227512 284390 299822 312829 398146 568780 599644 625658 749555 796292 995365 1049377 1137560 1199288 1251316 1499110 1564145 1592584 1649021 1990730 2098754 2189803 2502632 2998220 3128290 3298042 3981460 4197508 4379606 5246885 5996440 6256580 6596084 7962920 8245105 8395016 8759212 10493770 10949015 11543147 12513160 13192168 16490210 17518424 20987540 21898030 23086294 32980420 41975080 43796060 46172588 57715735 65960840 87592120 92345176 115431470 230862940 461725880 4263318929 8526637858 17053275716 21316594645 29843232503 34106551432 42633189290 46896508219 59686465006 85266378580 93793016438 119372930012 149216162515 170532757160 187586032876 234482541095 238745860024 298432325030 328275557533 375172065752 468965082190 596864650060 656551115066 937930164380 1193729300120 1313102230132 1641377787665 1875860328760 2626204460264 3282755575330 6565511150660 13131022301320