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1331030340300 = 2235231376918433
BaseRepresentation
bin10011010111100111100…
…101110011001011001100
311201020121210102001210010
4103113213211303023030
5133301422231342200
62455244503313220
7165110113134663
oct23274745631314
94636553361703
101331030340300
11473539a22131
12195b6744b810
1398691a9054b
14485ca79bdda
1524953225150
hex135e79732cc

1331030340300 has 144 divisors (see below), whose sum is σ = 3868652147360. Its totient is φ = 353328168960.

The previous prime is 1331030340253. The next prime is 1331030340317. The reversal of 1331030340300 is 30430301331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72199884 + ... + 72218316.

Almost surely, 21331030340300 is an apocalyptic number.

1331030340300 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 1331030340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934326073680).

1331030340300 is an abundant number, since it is smaller than the sum of its proper divisors (2537621807060).

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

1331030340300 is a wasteful number, since it uses less digits than its factorization.

1331030340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19532 (or 19525 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1331030340300 its reverse (30430301331), we get a palindrome (1361460641631).

The spelling of 1331030340300 in words is "one trillion, three hundred thirty-one billion, thirty million, three hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 313 626 769 939 1252 1538 1565 1878 2307 3076 3130 3756 3845 4614 4695 6260 7690 7825 9228 9390 11535 15380 15650 18433 18780 19225 23070 23475 31300 36866 38450 46140 46950 55299 57675 73732 76900 92165 93900 110598 115350 184330 221196 230700 240697 276495 368660 460825 481394 552990 722091 921650 962788 1105980 1203485 1382475 1444182 1843300 2406970 2764950 2888364 3610455 4813940 5529900 5769529 6017425 7220910 11539058 12034850 14174977 14441820 17308587 18052275 23078116 24069700 28349954 28847645 34617174 36104550 42524931 56699908 57695290 69234348 70874885 72209100 85049862 86542935 115390580 141749770 144238225 170099724 173085870 212624655 283499540 288476450 346171740 354374425 425249310 432714675 576952900 708748850 850498620 865429350 1063123275 1417497700 1730858700 2126246550 4252493100 4436767801 8873535602 13310303403 17747071204 22183839005 26620606806 44367678010 53241213612 66551517015 88735356020 110919195025 133103034030 221838390050 266206068060 332757585075 443676780100 665515170150 1331030340300