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130133301300 = 22335283580693
BaseRepresentation
bin111100100110010001…
…1001001100000110100
3110102220012202122122000
41321030203021200310
54113003111120200
6135441000135300
712254552544612
oct1711443114064
9412805678560
10130133301300
11502099463a2
1221279467530
13c36b6a7b42
1464270886b2
1535b98e5300
hex1e4c8c9834

130133301300 has 144 divisors (see below), whose sum is σ = 423395609280. Its totient is φ = 34284055680.

The previous prime is 130133301269. The next prime is 130133301313. The reversal of 130133301300 is 3103331031.

130133301300 is a `hidden beast` number, since 1 + 30 + 1 + 3 + 330 + 1 + 300 = 666.

It is a super-2 number, since 2×1301333013002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 66247 + ... + 514446.

Almost surely, 2130133301300 is an apocalyptic number.

130133301300 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 130133301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211697804640).

130133301300 is an abundant number, since it is smaller than the sum of its proper divisors (293262307980).

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

130133301300 is a wasteful number, since it uses less digits than its factorization.

130133301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580799 (or 580786 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 130133301300 its reverse (3103331031), we get a palindrome (133236632331).

The spelling of 130133301300 in words is "one hundred thirty billion, one hundred thirty-three million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 83 90 100 108 135 150 166 180 225 249 270 300 332 415 450 498 540 675 747 830 900 996 1245 1350 1494 1660 2075 2241 2490 2700 2988 3735 4150 4482 4980 6225 7470 8300 8964 11205 12450 14940 18675 22410 24900 37350 44820 56025 74700 112050 224100 580693 1161386 1742079 2322772 2903465 3484158 5226237 5806930 6968316 8710395 10452474 11613860 14517325 15678711 17420790 20904948 26131185 29034650 31357422 34841580 43551975 48197519 52262370 58069300 62714844 78393555 87103950 96395038 104524740 130655925 144592557 156787110 174207900 192790076 240987595 261311850 289185114 313574220 391967775 433777671 481975190 522623700 578370228 722962785 783935550 867555342 963950380 1204937975 1301333013 1445925570 1567871100 1735110684 2168888355 2409875950 2602666026 2891851140 3614813925 4337776710 4819751900 5205332052 6506665065 7229627850 8675553420 10844441775 13013330130 14459255700 21688883550 26026660260 32533325325 43377767100 65066650650 130133301300