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130133204100 = 223352106345341
BaseRepresentation
bin111100100110010001…
…0110001110010000100
3110102220012120201022000
41321030202301302010
54113003100012400
6135440554105300
712254551661334
oct1711442616204
9412805521260
10130133204100
115020988a369
122127941b230
13c36b672823
1464270610c4
1535b98c6600
hex1e4c8b1c84

130133204100 has 144 divisors (see below), whose sum is σ = 418756947840. Its totient is φ = 34668777600.

The previous prime is 130133204099. The next prime is 130133204153. The reversal of 130133204100 is 1402331031.

130133204100 is a `hidden beast` number, since 1 + 301 + 3 + 320 + 41 + 0 + 0 = 666.

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

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, 2847430 + ... + 2892770.

It is an arithmetic number, because the mean of its divisors is an integer number (2908034360).

Almost surely, 2130133204100 is an apocalyptic number.

130133204100 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 130133204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209378473920).

130133204100 is an abundant number, since it is smaller than the sum of its proper divisors (288623743740).

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

130133204100 is a wasteful number, since it uses less digits than its factorization.

130133204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46427 (or 46414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130133204100 its reverse (1402331031), we get a palindrome (131535535131).

The spelling of 130133204100 in words is "one hundred thirty billion, one hundred thirty-three million, two hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1063 1350 2126 2700 3189 4252 5315 6378 9567 10630 12756 15945 19134 21260 26575 28701 31890 38268 45341 47835 53150 57402 63780 79725 90682 95670 106300 114804 136023 143505 159450 181364 191340 226705 239175 272046 287010 318900 408069 453410 478350 544092 574020 680115 717525 816138 906820 956700 1133525 1224207 1360230 1435050 1632276 2040345 2267050 2448414 2720460 2870100 3400575 4080690 4534100 4896828 6121035 6801150 8161380 10201725 12242070 13602300 20403450 24484140 30605175 40806900 48197483 61210350 96394966 122420700 144592449 192789932 240987415 289184898 433777347 481974830 578369796 722962245 867554694 963949660 1204937075 1301332041 1445924490 1735109388 2168886735 2409874150 2602664082 2891848980 3614811225 4337773470 4819748300 5205328164 6506660205 7229622450 8675546940 10844433675 13013320410 14459244900 21688867350 26026640820 32533301025 43377734700 65066602050 130133204100