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120200100020 = 225711136004001
BaseRepresentation
bin110111111110001111…
…0111111100010110100
3102111020221200202010022
41233330132333202310
53432132211200040
6131115201144312
711453445664250
oct1577436774264
9374227622108
10120200100020
1146a81906240
121b36692b098
13b4477a8050
145b63b53260
1531d782e6b5
hex1bfc7bf8b4

120200100020 has 96 divisors (see below), whose sum is σ = 338913904896. Its totient is φ = 34583040000.

The previous prime is 120200100001. The next prime is 120200100043. The reversal of 120200100020 is 20001002021.

It is a junction number, because it is equal to n+sod(n) for n = 120200099980 and 120200100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2981981 + ... + 3022020.

It is an arithmetic number, because the mean of its divisors is an integer number (3530353176).

Almost surely, 2120200100020 is an apocalyptic number.

120200100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200100020 is an abundant number, since it is smaller than the sum of its proper divisors (218713804876).

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

120200100020 is a wasteful number, since it uses less digits than its factorization.

120200100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004041 (or 6004039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120200100020 its reverse (20001002021), we get a palindrome (140201102041).

The spelling of 120200100020 in words is "one hundred twenty billion, two hundred million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 6004001 12008002 24016004 30020005 42028007 60040010 66044011 78052013 84056014 120080020 132088022 156104026 168112028 210140035 264176044 312208052 330220055 390260065 420280070 462308077 546364091 660440110 780520130 840560140 858572143 924616154 1092728182 1320880220 1561040260 1717144286 1849232308 2185456364 2311540385 2731820455 3434288572 4292860715 4623080770 5463640910 6010005001 8585721430 9246161540 10927281820 12020010002 17171442860 24040020004 30050025005 60100050010 120200100020