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11302320013020 = 22325375413136867
BaseRepresentation
bin1010010001111000011011…
…0001001111111011011100
31111000111021010002120121200
42210132012301033323130
52440134122410404040
640012114130355500
72244365011662231
oct244360661177334
944014233076550
1011302320013020
113668317aa6343
12132657012bb90
1363ca5bab411a
142b106c875788
15148eec88e630
hexa4786c4fedc

11302320013020 has 144 divisors (see below), whose sum is σ = 35275385597088. Its totient is φ = 2927072401920.

The previous prime is 11302320013003. The next prime is 11302320013043. The reversal of 11302320013020 is 2031002320311.

11302320013020 is a `hidden beast` number, since 1 + 130 + 232 + 0 + 0 + 1 + 302 + 0 = 666.

It is a super-3 number, since 3×113023200130203 (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11302320012984 and 11302320013002.

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, 2034627 + ... + 5171493.

Almost surely, 211302320013020 is an apocalyptic number.

11302320013020 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 11302320013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637692798544).

11302320013020 is an abundant number, since it is smaller than the sum of its proper divisors (23973065584068).

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

11302320013020 is a wasteful number, since it uses less digits than its factorization.

11302320013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137460 (or 3137455 counting only the distinct ones).

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

Adding to 11302320013020 its reverse (2031002320311), we get a palindrome (13333322333331).

The spelling of 11302320013020 in words is "eleven trillion, three hundred two billion, three hundred twenty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 541 555 666 740 1082 1110 1332 1623 1665 2164 2220 2705 3246 3330 4869 5410 6492 6660 8115 9738 10820 16230 19476 20017 24345 32460 40034 48690 60051 80068 97380 100085 120102 180153 200170 240204 300255 360306 400340 600510 720612 900765 1201020 1801530 3136867 3603060 6273734 9410601 12547468 15684335 18821202 28231803 31368670 37642404 47053005 56463606 62737340 94106010 112927212 116064079 141159015 188212020 232128158 282318030 348192237 464256316 564636060 580320395 696384474 1044576711 1160640790 1392768948 1697045047 1740961185 2089153422 2321281580 3394090094 3481922370 4178306844 5091135141 5222883555 6788180188 6963844740 8485225235 10182270282 10445767110 15273405423 16970450470 20364540564 20891534220 25455675705 30546810846 33940900940 50911351410 61093621692 62790666739 76367027115 101822702820 125581333478 152734054230 188372000217 251162666956 305468108460 313953333695 376744000434 565116000651 627906667390 753488000868 941860001085 1130232001302 1255813334780 1883720002170 2260464002604 2825580003255 3767440004340 5651160006510 11302320013020