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2040303100 = 22521110931697
BaseRepresentation
bin111100110011100…
…1000110111111100
312021012012010200111
41321213020313330
513134304144400
6534242435404
7101363201353
oct17147106774
95235163614
102040303100
11957774a10
1248b362b64
13266918b54
14154d8a99a
15be1c43ba
hex799c8dfc

2040303100 has 72 divisors (see below), whose sum is σ = 4837221648. Its totient is φ = 740812800.

The previous prime is 2040303079. The next prime is 2040303101. The reversal of 2040303100 is 13030402.

It is a super-2 number, since 2×20403031002 = 8325673479739220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040303101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1201452 + ... + 1203148.

It is an arithmetic number, because the mean of its divisors is an integer number (67183634).

Almost surely, 22040303100 is an apocalyptic number.

2040303100 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 2040303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418610824).

2040303100 is an abundant number, since it is smaller than the sum of its proper divisors (2796918548).

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

2040303100 is a wasteful number, since it uses less digits than its factorization.

2040303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2040303100 is about 45169.7144113177. The cubic root of 2040303100 is about 1268.3279502481.

Adding to 2040303100 its reverse (13030402), we get a palindrome (2053333502).

The spelling of 2040303100 in words is "two billion, forty million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1093 1100 1697 2186 3394 4372 5465 6788 8485 10930 12023 16970 18667 21860 24046 27325 33940 37334 42425 48092 54650 60115 74668 84850 93335 109300 120230 169700 186670 240460 300575 373340 466675 601150 933350 1202300 1854821 1866700 3709642 7419284 9274105 18548210 20403031 37096420 40806062 46370525 81612124 92741050 102015155 185482100 204030310 408060620 510075775 1020151550 2040303100