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130130333312 = 277247441443
BaseRepresentation
bin111100100110001011…
…1110100111010000000
3110102220000011212022112
41321030113310322000
54113001331131222
6135440412354452
712254515403600
oct1711427647200
9412800155275
10130130333312
11502081a9511
1221278475a28
13c36aba8c35
146426914c00
1535b950abe2
hex1e4c5f4e80

130130333312 has 96 divisors (see below), whose sum is σ = 307986649920. Its totient is φ = 54583420416.

The previous prime is 130130333287. The next prime is 130130333339. The reversal of 130130333312 is 213333031031.

130130333312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74063 + ... + 515505.

It is an arithmetic number, because the mean of its divisors is an integer number (3208194270).

Almost surely, 2130130333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130130333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153993324960).

130130333312 is an abundant number, since it is smaller than the sum of its proper divisors (177856316608).

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

130130333312 is an equidigital number, since it uses as much as digits as its factorization.

130130333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441518 (or 441499 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 130130333312 its reverse (213333031031), we get a palindrome (343463364343).

The spelling of 130130333312 in words is "one hundred thirty billion, one hundred thirty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 329 376 392 448 658 752 784 896 1316 1504 1568 2303 2632 3008 3136 4606 5264 6016 6272 9212 10528 18424 21056 36848 42112 73696 147392 294784 441443 882886 1765772 3090101 3531544 6180202 7063088 12360404 14126176 20747821 21630707 24720808 28252352 41495642 43261414 49441616 56504704 82991284 86522828 98883232 145234747 165982568 173045656 197766464 290469494 331965136 346091312 395532928 580938988 663930272 692182624 1016643229 1161877976 1327860544 1384365248 2033286458 2323755952 2655721088 2768730496 4066572916 4647511904 8133145832 9295023808 16266291664 18590047616 32532583328 65065166656 130130333312