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13230313230300 = 22352101990144101
BaseRepresentation
bin1100000010000110110000…
…0111101100111111011100
31201211210202021110212100020
43000201230013230333130
53213231140141332200
644045531052232140
72533600331636205
oct300415407547734
951753667425306
1013230313230300
114240a429a5541
12159815916b650
1374c7c822044a
1433a4c9daa5ac
1517e23dea8ea0
hexc086c1ecfdc

13230313230300 has 144 divisors (see below), whose sum is σ = 38663494482144. Its totient is φ = 3492720000000.

The previous prime is 13230313230283. The next prime is 13230313230317. The reversal of 13230313230300 is 303231303231.

13230313230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13230313230283) and next prime (13230313230317).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299978250 + ... + 300022350.

Almost surely, 213230313230300 is an apocalyptic number.

13230313230300 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 13230313230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331747241072).

13230313230300 is an abundant number, since it is smaller than the sum of its proper divisors (25433181251844).

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

13230313230300 is a wasteful number, since it uses less digits than its factorization.

13230313230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54120 (or 54113 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13230313230300 its reverse (303231303231), we get a palindrome (13533544533531).

It can be divided in two parts, 132303 and 13230300, that multiplied together give a square (1750408380900 = 13230302).

The spelling of 13230313230300 in words is "thirteen trillion, two hundred thirty billion, three hundred thirteen million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 9901 10100 15150 19802 29703 30300 39604 44101 49505 59406 88202 99010 118812 132303 148515 176404 198020 220505 247525 264606 297030 441010 495050 529212 594060 661515 742575 882020 990100 1000001 1102525 1323030 1485150 2000002 2205050 2646060 2970300 3000003 3307575 4000004 4410100 4454201 5000005 6000006 6615150 8908402 10000010 12000012 13230300 13362603 15000015 17816804 20000020 22271005 25000025 26725206 30000030 44542010 50000050 53450412 60000060 66813015 75000075 89084020 100000100 111355025 133626030 150000150 222710050 267252060 300000300 334065075 436644001 445420100 668130150 873288002 1309932003 1336260300 1746576004 2183220005 2619864006 4366440010 5239728012 6549660015 8732880020 10916100025 13099320030 21832200050 26198640060 32748300075 43664400100 44101044101 65496600150 88202088202 130993200300 132303132303 176404176404 220505220505 264606264606 441010441010 529212529212 661515661515 882020882020 1102526102525 1323031323030 2205052205050 2646062646060 3307578307575 4410104410100 6615156615150 13230313230300