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130310031300 = 223521923099901
BaseRepresentation
bin111100101011100010…
…1010100011111000100
3110110100112022110121120
41321113011110133010
54113333332000200
6135510312113540
712262126663461
oct1712705243704
9413315273546
10130310031300
115029a685249
12213086958b0
13c3991a54c7
146442730668
1535ca1a49a0
hex1e571547c4

130310031300 has 144 divisors (see below), whose sum is σ = 397086043200. Its totient is φ = 32902848000.

The previous prime is 130310031283. The next prime is 130310031301. The reversal of 130310031300 is 3130013031.

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 130310031300.

It is not an unprimeable number, because it can be changed into a prime (130310031301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13156350 + ... + 13166250.

Almost surely, 2130310031300 is an apocalyptic number.

130310031300 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 130310031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198543021600).

130310031300 is an abundant number, since it is smaller than the sum of its proper divisors (266776011900).

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

130310031300 is a wasteful number, since it uses less digits than its factorization.

130310031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12239 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 130310031300 its reverse (3130013031), we get a palindrome (133440044331).

The spelling of 130310031300 in words is "one hundred thirty billion, three hundred ten million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2309 2850 4618 5700 6927 9236 9901 11545 13854 19802 23090 27708 29703 34635 39604 43871 46180 49505 57725 59406 69270 87742 99010 115450 118812 131613 138540 148515 173175 175484 188119 198020 219355 230900 247525 263226 297030 346350 376238 438710 495050 526452 564357 594060 658065 692700 742575 752476 877420 940595 990100 1096775 1128714 1316130 1485150 1881190 2193550 2257428 2632260 2821785 2970300 3290325 3762380 4387100 4702975 5643570 6580650 9405950 11287140 13161300 14108925 18811900 22861409 28217850 45722818 56435700 68584227 91445636 114307045 137168454 228614090 274336908 342921135 434366771 457228180 571535225 685842270 868733542 1143070450 1303100313 1371684540 1714605675 1737467084 2171833855 2286140900 2606200626 3429211350 4343667710 5212401252 6515501565 6858422700 8687335420 10859169275 13031003130 21718338550 26062006260 32577507825 43436677100 65155015650 130310031300