Search a number
-
+
2100065000 = 23541138183
BaseRepresentation
bin111110100101100…
…0111001011101000
312102100122100121012
41331023013023220
513300104040000
6544215403052
7103020154325
oct17513071350
95370570535
102100065000
11988482a10
124a7383488
13276111617
1415cca5b4c
15c457b735
hex7d2c72e8

2100065000 has 80 divisors (see below), whose sum is σ = 5367906720. Its totient is φ = 763640000.

The previous prime is 2100064999. The next prime is 2100065047. The reversal of 2100065000 is 5600012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35909 + ... + 74091.

It is an arithmetic number, because the mean of its divisors is an integer number (67098834).

Almost surely, 22100065000 is an apocalyptic number.

2100065000 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 2100065000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683953360).

2100065000 is an abundant number, since it is smaller than the sum of its proper divisors (3267841720).

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

2100065000 is a wasteful number, since it uses less digits than its factorization.

2100065000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38220 (or 38201 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2100065000 is about 45826.4661522138. The cubic root of 2100065000 is about 1280.5923771759.

Adding to 2100065000 its reverse (5600012), we get a palindrome (2105665012).

The spelling of 2100065000 in words is "two billion, one hundred million, sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 11000 13750 27500 38183 55000 76366 152732 190915 305464 381830 420013 763660 840026 954575 1527320 1680052 1909150 2100065 3360104 3818300 4200130 4772875 7636600 8400260 9545750 10500325 16800520 19091500 21000650 23864375 38183000 42001300 47728750 52501625 84002600 95457500 105003250 190915000 210006500 262508125 420013000 525016250 1050032500 2100065000