Search a number
-
+
100323320011020 = 223252340495984857
BaseRepresentation
bin10110110011111001010111…
…110110100001100100001100
3111011012211000122221212012200
4112303321113312201210030
5101122144124410323040
6553211521424401500
730063056251660131
oct2663712766414414
9434184018855180
10100323320011020
1129a699767a4957
12b3033b8a76290
1343c95aa419c32
141aab963144588
15b8e98e401630
hex5b3e57da190c

100323320011020 has 144 divisors (see below), whose sum is σ = 317623595889600. Its totient is φ = 25583392124928.

The previous prime is 100323320011007. The next prime is 100323320011021. The reversal of 100323320011020 is 20110023323001.

100323320011020 is a `hidden beast` number, since 1 + 0 + 0 + 323 + 320 + 0 + 1 + 1 + 0 + 20 = 666.

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 = 100323320010984 and 100323320011002.

It is not an unprimeable number, because it can be changed into a prime (100323320011021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13770432 + ... + 19755288.

It is an arithmetic number, because the mean of its divisors is an integer number (2205719415900).

Almost surely, 2100323320011020 is an apocalyptic number.

100323320011020 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 100323320011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158811797944800).

100323320011020 is an abundant number, since it is smaller than the sum of its proper divisors (217300275878580).

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

100323320011020 is a wasteful number, since it uses less digits than its factorization.

100323320011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988944 (or 5988939 counting only the distinct ones).

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

Adding to 100323320011020 its reverse (20110023323001), we get a palindrome (120433343334021).

The spelling of 100323320011020 in words is "one hundred trillion, three hundred twenty-three billion, three hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4049 4140 8098 12147 16196 20245 24294 36441 40490 48588 60735 72882 80980 93127 121470 145764 182205 186254 242940 279381 364410 372508 465635 558762 728820 838143 931270 1117524 1396905 1676286 1862540 2793810 3352572 4190715 5587620 5984857 8381430 11969714 16762860 17954571 23939428 29924285 35909142 53863713 59848570 71818284 89772855 107727426 119697140 137651711 179545710 215454852 269318565 275303422 359091420 412955133 538637130 550606844 688258555 825910266 1077274260 1238865399 1376517110 1651820532 2064775665 2477730798 2753034220 4129551330 4955461596 6194326995 8259102660 12388653990 24232685993 24777307980 48465371986 72698057979 96930743972 121163429965 145396115958 218094173937 242326859930 290792231916 363490289895 436188347874 484653719860 557351777839 726980579790 872376695748 1090470869685 1114703555678 1453961159580 1672055333517 2180941739370 2229407111356 2786758889195 3344110667034 4361883478740 5016166000551 5573517778390 6688221334068 8360276667585 10032332001102 11147035556780 16720553335170 20064664002204 25080830002755 33441106670340 50161660005510 100323320011020