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130123200300 = 2235217191133583
BaseRepresentation
bin111100100101111110…
…0100111011100101100
3110102212111202110122220
41321023330213130230
54112443014402200
6135435555435340
712254400644622
oct1711374473454
9412774673586
10130123200300
1150204177365
1221275bb5b50
13c36957c312
1464259b9512
1535b8a9c4a0
hex1e4bf2772c

130123200300 has 144 divisors (see below), whose sum is σ = 400726351872. Its totient is φ = 32487142400.

The previous prime is 130123200299. The next prime is 130123200323. The reversal of 130123200300 is 3002321031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130123200300.

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, 907309 + ... + 1040891.

It is an arithmetic number, because the mean of its divisors is an integer number (2782821888).

Almost surely, 2130123200300 is an apocalyptic number.

130123200300 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 130123200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200363175936).

130123200300 is an abundant number, since it is smaller than the sum of its proper divisors (270603151572).

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

130123200300 is a wasteful number, since it uses less digits than its factorization.

130123200300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133808 (or 133801 counting only the distinct ones).

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

Adding to 130123200300 its reverse (3002321031), we get a palindrome (133125521331).

The spelling of 130123200300 in words is "one hundred thirty billion, one hundred twenty-three million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 191 204 255 300 340 382 425 510 573 764 850 955 1020 1146 1275 1700 1910 2292 2550 2865 3247 3820 4775 5100 5730 6494 9550 9741 11460 12988 14325 16235 19100 19482 28650 32470 38964 48705 57300 64940 81175 97410 133583 162350 194820 243525 267166 324700 400749 487050 534332 667915 801498 974100 1335830 1602996 2003745 2270911 2671660 3339575 4007490 4541822 6679150 6812733 8014980 9083644 10018725 11354555 13358300 13625466 20037450 22709110 25514353 27250932 34063665 40074900 45418220 51028706 56772775 68127330 76543059 102057412 113545550 127571765 136254660 153086118 170318325 227091100 255143530 306172236 340636650 382715295 433744001 510287060 637858825 681273300 765430590 867488002 1275717650 1301232003 1530861180 1734976004 1913576475 2168720005 2551435300 2602464006 3827152950 4337440010 5204928012 6506160015 7654305900 8674880020 10843600025 13012320030 21687200050 26024640060 32530800075 43374400100 65061600150 130123200300