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130312131330 = 235172944319889
BaseRepresentation
bin111100101011100110…
…1010101001100000010
3110110100200021011022110
41321113031111030002
54113334401200310
6135510425120150
712262153561143
oct1712715251402
9413320234273
10130312131330
11502a088a007
1221309329056
13c39975c324
146442b19aca
1535ca46bd20
hex1e57355302

130312131330 has 128 divisors (see below), whose sum is σ = 343355500800. Its totient is φ = 31505137664.

The previous prime is 130312131293. The next prime is 130312131349. The reversal of 130312131330 is 33131213031.

It is a junction number, because it is equal to n+sod(n) for n = 130312131297 and 130312131306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6542026 + ... + 6561914.

It is an arithmetic number, because the mean of its divisors is an integer number (2682464850).

Almost surely, 2130312131330 is an apocalyptic number.

130312131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171677750400).

130312131330 is an abundant number, since it is smaller than the sum of its proper divisors (213043369470).

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

130312131330 is a wasteful number, since it uses less digits than its factorization.

130312131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20388.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 130312131330 its reverse (33131213031), we get a palindrome (163443344361).

The spelling of 130312131330 in words is "one hundred thirty billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 443 493 510 870 886 986 1329 1479 2215 2465 2658 2958 4430 4930 6645 7395 7531 12847 13290 14790 15062 19889 22593 25694 37655 38541 39778 45186 59667 64235 75310 77082 99445 112965 119334 128470 192705 198890 218399 225930 298335 338113 385410 436798 576781 596670 655197 676226 1014339 1091995 1153562 1310394 1690565 1730343 2028678 2183990 2883905 3275985 3381130 3460686 5071695 5767810 6551970 8651715 8810827 9805277 10143390 17303430 17621654 19610554 26432481 29415831 44054135 49026385 52864962 58831662 88108270 98052770 132162405 147079155 149784059 255513983 264324810 294158310 299568118 449352177 511027966 748920295 766541949 898704354 1277569915 1497840590 1533083898 2246760885 2555139830 3832709745 4343737711 4493521770 7665419490 8687475422 13031213133 21718688555 26062426266 43437377110 65156065665 130312131330