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1300312003130 = 25712713727793
BaseRepresentation
bin10010111011000000101…
…000101001001000111010
311121022022222102212001122
4102323000220221020322
5132301014333100010
62433204410545242
7162641641442450
oct22730050511072
94538288385048
101300312003130
11461506254818
12190013a38222
139580793878a
1446d14ba49d0
1523c56505855
hex12ec0a2923a

1300312003130 has 96 divisors (see below), whose sum is σ = 2716160864256. Its totient is φ = 439025965056.

The previous prime is 1300312003129. The next prime is 1300312003139. The reversal of 1300312003130 is 313002130031.

It is a super-2 number, since 2×13003120031302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1300312003099 and 1300312003108.

It is not an unprimeable number, because it can be changed into a prime (1300312003139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166852514 + ... + 166860306.

It is an arithmetic number, because the mean of its divisors is an integer number (28293342336).

Almost surely, 21300312003130 is an apocalyptic number.

1300312003130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1300312003130 is an abundant number, since it is smaller than the sum of its proper divisors (1415848861126).

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

1300312003130 is a wasteful number, since it uses less digits than its factorization.

1300312003130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1300312003130 its reverse (313002130031), we get a palindrome (1613314133161).

The spelling of 1300312003130 in words is "one trillion, three hundred billion, three hundred twelve million, three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 127 137 254 274 635 685 889 959 1270 1370 1778 1918 4445 4795 7793 8890 9590 15586 17399 18769 34798 37538 38965 54551 77930 86995 93845 109102 121793 131383 173990 187690 243586 262766 272755 545510 608965 656915 989711 1067641 1217930 1313830 1979422 2135282 2383663 4767326 4948555 5338205 6927977 7473487 9897110 10676410 11918315 13855954 14946974 16685641 23836630 33371282 34639885 37367435 69279770 74734870 83428205 135590407 146266817 166856410 271180814 292533634 677952035 731334085 949132849 1023867719 1355904070 1462668170 1898265698 2047735438 4745664245 5119338595 9491328490 10238677190 18575885759 37151771518 92879428795 130031200313 185758857590 260062400626 650156001565 1300312003130