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2001244300 = 22521110118013
BaseRepresentation
bin111011101001000…
…1001000010001100
312011110200202002021
41313102021002030
513044304304200
6530325335524
7100410203326
oct16722110214
95143622067
102001244300
11937717510
1247a2675a4
1325b7c1833
1414db00616
15baa5b41a
hex7748908c

2001244300 has 72 divisors (see below), whose sum is σ = 4784662512. Its totient is φ = 720480000.

The previous prime is 2001244253. The next prime is 2001244307. The reversal of 2001244300 is 34421002.

It is not an unprimeable number, because it can be changed into a prime (2001244307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102094 + ... + 120106.

It is an arithmetic number, because the mean of its divisors is an integer number (66453646).

Almost surely, 22001244300 is an apocalyptic number.

2001244300 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 2001244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392331256).

2001244300 is an abundant number, since it is smaller than the sum of its proper divisors (2783418212).

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

2001244300 is a wasteful number, since it uses less digits than its factorization.

2001244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18139 (or 18132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2001244300 is about 44735.2690838001. The cubic root of 2001244300 is about 1260.1822823542.

Adding to 2001244300 its reverse (34421002), we get a palindrome (2035665302).

The spelling of 2001244300 in words is "two billion, one million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 18013 22220 27775 36026 55550 72052 90065 111100 180130 198143 360260 396286 450325 792572 900650 990715 1801300 1819313 1981430 3638626 3962860 4953575 7277252 9096565 9907150 18193130 19814300 20012443 36386260 40024886 45482825 80049772 90965650 100062215 181931300 200124430 400248860 500311075 1000622150 2001244300