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10003330130220 = 22325723334073609
BaseRepresentation
bin1001000110010001010011…
…1100000110000100101100
31022102022100021110101200200
42101210110330012010230
52302343310003131340
633135244425153500
72051500563106620
oct221442474060454
938368307411620
1010003330130220
113207430088159
12115686702b890
13577405059b8b
1426824150d180
15125322498330
hex91914f0612c

10003330130220 has 144 divisors (see below), whose sum is σ = 34827045664320. Its totient is φ = 2276662192128.

The previous prime is 10003330130191. The next prime is 10003330130243. The reversal of 10003330130220 is 2203103330001.

10003330130220 is a `hidden beast` number, since 10 + 0 + 0 + 3 + 330 + 1 + 302 + 20 = 666.

It is a super-2 number, since 2×100033301302202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10003330130193 and 10003330130202.

It is an unprimeable number.

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, 16743225 + ... + 17330384.

It is an arithmetic number, because the mean of its divisors is an integer number (241854483780).

Almost surely, 210003330130220 is an apocalyptic number.

10003330130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003330130220 is an abundant number, since it is smaller than the sum of its proper divisors (24823715534100).

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

10003330130220 is a wasteful number, since it uses less digits than its factorization.

10003330130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34073864 (or 34073859 counting only the distinct ones).

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

Adding to 10003330130220 its reverse (2203103330001), we get a palindrome (12206433460221).

The spelling of 10003330130220 in words is "ten trillion, three billion, three hundred thirty million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 233 252 315 420 466 630 699 932 1165 1260 1398 1631 2097 2330 2796 3262 3495 4194 4660 4893 6524 6990 8155 8388 9786 10485 13980 14679 16310 19572 20970 24465 29358 32620 41940 48930 58716 73395 97860 146790 293580 34073609 68147218 102220827 136294436 170368045 204441654 238515263 306662481 340736090 408883308 477030526 511104135 613324962 681472180 715545789 954061052 1022208270 1192576315 1226649924 1431091578 1533312405 2044416540 2146637367 2385152630 2862183156 3066624810 3577728945 4293274734 4770305260 6133249620 7155457890 7939150897 8586549468 10733186835 14310915780 15878301794 21466373670 23817452691 31756603588 39695754485 42932747340 47634905382 55574056279 71452358073 79391508970 95269810764 111148112558 119087263455 142904716146 158783017940 166722168837 222296225116 238174526910 277870281395 285809432292 333444337674 357261790365 476349053820 500166506511 555740562790 666888675348 714523580730 833610844185 1000333013022 1111481125580 1429047161460 1667221688370 2000666026044 2500832532555 3334443376740 5001665065110 10003330130220