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2120500000 = 25564241
BaseRepresentation
bin111111001100100…
…0100001100100000
312110210002120011001
41332121010030200
513320322000000
6550225401344
7103355644513
oct17631041440
95423076131
102120500000
11998a70043
124b2199254
1327a417a38
141618a4d7a
15c626646a
hex7e644320

2120500000 has 84 divisors (see below), whose sum is σ = 5219581626. Its totient is φ = 848000000.

The previous prime is 2120499991. The next prime is 2120500069. The reversal of 2120500000 is 50212.

It can be written as a sum of positive squares in 7 ways, for example, as 464661136 + 1655838864 = 21556^2 + 40692^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2120500000.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 497880 + ... + 502120.

Almost surely, 22120500000 is an apocalyptic number.

2120500000 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 2120500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609790813).

2120500000 is an abundant number, since it is smaller than the sum of its proper divisors (3099081626).

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

2120500000 is an frugal number, since it uses more digits than its factorization.

2120500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 2120500000 is about 46048.8870658130. The cubic root of 2120500000 is about 1284.7326428287.

Adding to 2120500000 its reverse (50212), we get a palindrome (2120550212).

The spelling of 2120500000 in words is "two billion, one hundred twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 4241 5000 6250 8482 10000 12500 15625 16964 20000 21205 25000 31250 33928 42410 50000 62500 67856 84820 100000 106025 125000 135712 169640 212050 250000 339280 424100 500000 530125 678560 848200 1060250 1696400 2120500 2650625 3392800 4241000 5301250 8482000 10602500 13253125 16964000 21205000 26506250 42410000 53012500 66265625 84820000 106025000 132531250 212050000 265062500 424100000 530125000 1060250000 2120500000