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130322303300 = 22527239783449
BaseRepresentation
bin111100101011111010…
…0001000100101000100
3110110101101101221122002
41321113310020211010
54113400002201200
6135511431124432
712262336205060
oct1712764104504
9413341357562
10130322303300
11502a65a73a2
1221310813718
13c39b8b1247
146444206aa0
1535cb2cabd5
hex1e57d08944

130322303300 has 144 divisors (see below), whose sum is σ = 340732358400. Its totient is φ = 42298122240.

The previous prime is 130322303291. The next prime is 130322303347. The reversal of 130322303300 is 3303223031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1519976 + ... + 1603424.

Almost surely, 2130322303300 is an apocalyptic number.

130322303300 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 130322303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170366179200).

130322303300 is an abundant number, since it is smaller than the sum of its proper divisors (210410055100).

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

130322303300 is a wasteful number, since it uses less digits than its factorization.

130322303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83590 (or 83583 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 130322303300 its reverse (3303223031), we get a palindrome (133625526331).

The spelling of 130322303300 in words is "one hundred thirty billion, three hundred twenty-two million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 97 100 115 140 161 175 194 230 322 350 388 460 485 575 644 679 700 805 970 1150 1358 1610 1940 2231 2300 2425 2716 3220 3395 4025 4462 4850 6790 8050 8924 9700 11155 13580 15617 16100 16975 22310 31234 33950 44620 55775 62468 67900 78085 83449 111550 156170 166898 223100 312340 333796 390425 417245 584143 780850 834490 1168286 1561700 1668980 1919327 2086225 2336572 2920715 3838654 4172450 5841430 7677308 8094553 8344900 9596635 11682860 13435289 14603575 16189106 19193270 26870578 29207150 32378212 38386540 40472765 47983175 53741156 56661871 58414300 67176445 80945530 95966350 113323742 134352890 161891060 186174719 191932700 202363825 226647484 268705780 283309355 335882225 372349438 404727650 566618710 671764450 744698876 809455300 930873595 1133237420 1303223033 1343528900 1416546775 1861747190 2606446066 2833093550 3723494380 4654367975 5212892132 5666187100 6516115165 9308735950 13032230330 18617471900 26064460660 32580575825 65161151650 130322303300