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130303221000 = 23353227191341
BaseRepresentation
bin111100101011010101…
…1010101110100001000
3110110100001111110122020
41321112223111310020
54113330111033000
6135505510124440
712262015050411
oct1712653256410
9413301443566
10130303221000
11502968535a7
1221306350720
13c39795c744
14644187a808
1535c97abba0
hex1e56ad5d08

130303221000 has 128 divisors (see below), whose sum is σ = 408339135360. Its totient is φ = 34594272000.

The previous prime is 130303220963. The next prime is 130303221011. The reversal of 130303221000 is 122303031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585330 + ... + 776670.

It is an arithmetic number, because the mean of its divisors is an integer number (3190149495).

Almost surely, 2130303221000 is an apocalyptic number.

130303221000 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 130303221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204169567680).

130303221000 is an abundant number, since it is smaller than the sum of its proper divisors (278035914360).

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

130303221000 is a wasteful number, since it uses less digits than its factorization.

130303221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191592 (or 191578 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130303221000 its reverse (122303031), we get a palindrome (130425524031).

The spelling of 130303221000 in words is "one hundred thirty billion, three hundred three million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 227 250 300 375 454 500 600 681 750 908 1000 1135 1362 1500 1816 2270 2724 3000 3405 4540 5448 5675 6810 9080 11350 13620 17025 22700 27240 28375 34050 45400 56750 68100 85125 113500 136200 170250 191341 227000 340500 382682 574023 681000 765364 956705 1148046 1530728 1913410 2296092 2870115 3826820 4592184 4783525 5740230 7653640 9567050 11480460 14350575 19134100 22960920 23917625 28701150 38268200 43434407 47835250 57402300 71752875 86868814 95670500 114804600 130303221 143505750 173737628 191341000 217172035 260606442 287011500 347475256 434344070 521212884 574023000 651516105 868688140 1042425768 1085860175 1303032210 1737376280 2171720350 2606064420 3257580525 4343440700 5212128840 5429300875 6515161050 8686881400 10858601750 13030322100 16287902625 21717203500 26060644200 32575805250 43434407000 65151610500 130303221000