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10303130003202 = 2342919124734643
BaseRepresentation
bin1001010111101110001001…
…1001110110011100000010
31100110222011211210220210000
42111323202121312130002
52322301302240100302
633525105333020430
72112243111015501
oct225734231663402
940428154726700
1010303130003202
113312595315023
1211a4995484716
1359977258871a
14278961c38838
1512d01c2c531c
hex95ee2676702

10303130003202 has 160 divisors (see below), whose sum is σ = 24022655585280. Its totient is φ = 3296544894720.

The previous prime is 10303130003149. The next prime is 10303130003261. The reversal of 10303130003202 is 20230003130301.

10303130003202 is a `hidden beast` number, since 1 + 0 + 30 + 313 + 0 + 0 + 0 + 320 + 2 = 666.

10303130003202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2219065093 + ... + 2219069735.

It is an arithmetic number, because the mean of its divisors is an integer number (150141597408).

Almost surely, 210303130003202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10303130003202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011327792640).

10303130003202 is an abundant number, since it is smaller than the sum of its proper divisors (13719525582078).

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

10303130003202 is a wasteful number, since it uses less digits than its factorization.

10303130003202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7341 counting only the distinct ones).

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

Adding to 10303130003202 its reverse (20230003130301), we get a palindrome (30533133133503).

The spelling of 10303130003202 in words is "ten trillion, three hundred three billion, one hundred thirty million, three thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 191 261 382 522 573 783 1146 1566 1719 2349 2473 3438 4643 4698 4946 5157 5539 7419 9286 10314 11078 13929 14838 15471 16617 22257 27858 30942 33234 41787 44514 49851 66771 71717 83574 99702 125361 133542 134647 143434 149553 200313 215151 250722 269294 299106 376083 400626 403941 430302 448659 472343 645453 752166 807882 886813 897318 944686 1211823 1290906 1417029 1773626 1936359 2423646 2660439 2834058 3635469 3872718 4251087 5320878 5809077 7270938 7981317 8502174 10906407 11482139 11618154 12753261 13697947 15962634 21812814 22964278 23943951 25506522 25717577 27395894 34446417 38259783 41093841 47887902 51435154 68892834 71831853 76519566 77152731 82187682 103339251 123281523 143663706 154305462 206678502 231458193 246563046 310017753 332982031 369844569 462916386 620035506 665964062 694374579 739689138 930053259 998946093 1109533707 1388749158 1860106518 1997892186 2083123737 2193088549 2219067414 2996838279 4166247474 4386177098 5993676558 6579265647 8990514837 13158531294 17981029674 19737796941 26971544511 39475593882 53943089022 59213390823 63599567921 118426781646 127199135842 177640172469 190798703763 355280344938 381597407526 572396111289 1144792222578 1717188333867 3434376667734 5151565001601 10303130003202