Search a number
-
+
130331313104220 = 2232517347122743321
BaseRepresentation
bin11101101000100100011111…
…100111101110010101011100
3122002110112220022001211020200
4131220210133213232111130
5114040322012123313340
61141105213443343500
736311061302502144
oct3550443747562534
9562415808054220
10130331313104220
1138589221576158
121274b0b9081b90
135795261821617
1424280d7cbb924
15101033acae330
hex76891f9ee55c

130331313104220 has 144 divisors (see below), whose sum is σ = 419799836278368. Its totient is φ = 32616336936960.

The previous prime is 130331313104219. The next prime is 130331313104243. The reversal of 130331313104220 is 22401313133031.

130331313104220 is a `hidden beast` number, since 1 + 3 + 0 + 331 + 3 + 1 + 3 + 104 + 220 = 666.

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, 60309841 + ... + 62433480.

It is an arithmetic number, because the mean of its divisors is an integer number (2915276640822).

Almost surely, 2130331313104220 is an apocalyptic number.

130331313104220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130331313104220 is an abundant number, since it is smaller than the sum of its proper divisors (289468523174148).

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

130331313104220 is a wasteful number, since it uses less digits than its factorization.

130331313104220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122743700 (or 122743695 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130331313104220 its reverse (22401313133031), we get a palindrome (152732626237251).

The spelling of 130331313104220 in words is "one hundred thirty trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 347 510 612 694 765 1020 1041 1388 1530 1735 2082 3060 3123 3470 4164 5205 5899 6246 6940 10410 11798 12492 15615 17697 20820 23596 29495 31230 35394 53091 58990 62460 70788 88485 106182 117980 176970 212364 265455 353940 530910 1061820 122743321 245486642 368229963 490973284 613716605 736459926 1104689889 1227433210 1472919852 1841149815 2086636457 2209379778 2454866420 3682299630 4173272914 4418759556 5523449445 6259909371 7364599260 8346545828 10433182285 11046898890 12519818742 18779728113 20866364570 22093797780 25039637484 31299546855 37559456226 41732729140 42591932387 62599093710 75118912452 85183864774 93898640565 125198187420 127775797161 170367729548 187797281130 212959661935 255551594322 375594562260 383327391483 425919323870 511103188644 638878985805 724062850579 766654782966 851838647740 1277757971610 1448125701158 1533309565932 1916636957415 2172188551737 2555515943220 2896251402316 3620314252895 3833273914830 4344377103474 6516565655211 7240628505790 7666547829660 8688754206948 10860942758685 13033131310422 14481257011580 21721885517370 26066262620844 32582828276055 43443771034740 65165656552110 130331313104220