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2001122203300 = 2252115716195147
BaseRepresentation
bin11101000111101100001…
…011011001011010100100
321002022020122110200111021
4131013230023121122210
5230241244241001200
64131145225420524
7264401450034553
oct35075413313244
97068218420437
102001122203300
11701742350830
122839b793a744
13116921bba2ac
146cbd792bd9a
15370c179c41a
hex1d1ec2d96a4

2001122203300 has 144 divisors (see below), whose sum is σ = 4754088218880. Its totient is φ = 725091984000.

The previous prime is 2001122203291. The next prime is 2001122203319. The reversal of 2001122203300 is 33022211002.

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, 388791327 + ... + 388796473.

It is an arithmetic number, because the mean of its divisors is an integer number (33014501520).

Almost surely, 22001122203300 is an apocalyptic number.

2001122203300 is a gapful number since it is divisible by the number (20) 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 2001122203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377044109440).

2001122203300 is an abundant number, since it is smaller than the sum of its proper divisors (2752966015580).

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

2001122203300 is a wasteful number, since it uses less digits than its factorization.

2001122203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2001122203300 its reverse (33022211002), we get a palindrome (2034144414302).

The spelling of 2001122203300 in words is "two trillion, one billion, one hundred twenty-two million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 571 619 1100 1142 1238 2284 2476 2855 3095 5147 5710 6190 6281 6809 10294 11420 12380 12562 13618 14275 15475 20588 25124 25735 27236 28550 30950 31405 34045 51470 56617 57100 61900 62810 68090 102940 113234 125620 128675 136180 157025 170225 226468 257350 283085 314050 340450 353449 514700 566170 628100 680900 706898 1132340 1413796 1415425 1767245 2830850 2938937 3185993 3534490 3887939 5661700 5877874 6371986 7068980 7775878 8836225 11755748 12743972 14694685 15551756 15929965 17672450 19439695 29389370 31859930 32328307 35045923 35344900 38879390 58778740 63719860 64656614 70091846 73473425 77758780 79649825 97198475 129313228 140183692 146946850 159299650 161641535 175229615 194396950 293893700 318599300 323283070 350459230 388793900 646566140 700918460 808207675 876148075 1616415350 1752296150 1819202003 3232830700 3504592300 3638404006 7276808012 9096010015 18192020030 20011222033 36384040060 40022444066 45480050075 80044888132 90960100150 100056110165 181920200300 200112220330 400224440660 500280550825 1000561101650 2001122203300