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1303122300030 = 2355929577249
BaseRepresentation
bin10010111101101000001…
…001000100110001111110
311121120120211111201200000
4102331220021010301332
5132322243302100110
62434351321215130
7163101404535045
oct22755011046176
94546524451600
101303122300030
11462718625441
121906790314a6
1395b64c2c755
144710010955c
1523d6d0c61c0
hex12f68244c7e

1303122300030 has 96 divisors (see below), whose sum is σ = 3517392060000. Its totient is φ = 347124621312.

The previous prime is 1303122300023. The next prime is 1303122300041. The reversal of 1303122300030 is 300032213031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1303122299976 and 1303122300012.

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, 1968846 + ... + 2546094.

It is an arithmetic number, because the mean of its divisors is an integer number (36639500625).

Almost surely, 21303122300030 is an apocalyptic number.

1303122300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303122300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758696030000).

1303122300030 is an abundant number, since it is smaller than the sum of its proper divisors (2214269759970).

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

1303122300030 is an equidigital number, since it uses as much as digits as its factorization.

1303122300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578200 (or 578188 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1303122300030 its reverse (300032213031), we get a palindrome (1603154513061).

It can be divided in two parts, 130312 and 2300030, that added together give a palindrome (2430342).

The spelling of 1303122300030 in words is "one trillion, three hundred three billion, one hundred twenty-two million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 929 1215 1858 2430 2787 4645 5574 8361 9290 13935 16722 25083 27870 41805 50166 75249 83610 125415 150498 225747 250830 376245 451494 577249 752490 1128735 1154498 1731747 2257470 2886245 3463494 5195241 5772490 8658735 10390482 15585723 17317470 25976205 31171446 46757169 51952410 77928615 93514338 140271507 155857230 233785845 280543014 467571690 536264321 701357535 1072528642 1402715070 1608792963 2681321605 3217585926 4826378889 5362643210 8043964815 9652757778 14479136667 16087929630 24131894445 28958273334 43437410001 48263788890 72395683335 86874820002 130312230003 144791366670 217187050005 260624460006 434374100010 651561150015 1303122300030