Search a number
-
+
2111300200 = 235214970849
BaseRepresentation
bin111110111010111…
…1110001001101000
312110010210011101201
41331311332021220
513310443101300
6545300253544
7103214520112
oct17565761150
95403704351
102111300200
119938570a9
124ab0a12b4
13278546479
1416058c3b2
15c554a66a
hex7dd7e268

2111300200 has 48 divisors (see below), whose sum is σ = 4941787500. Its totient is φ = 838840320.

The previous prime is 2111300183. The next prime is 2111300221. The reversal of 2111300200 is 20031112.

It can be written as a sum of positive squares in 6 ways, for example, as 677769156 + 1433531044 = 26034^2 + 37862^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5625 + ... + 65224.

Almost surely, 22111300200 is an apocalyptic number.

2111300200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111300200 is an abundant number, since it is smaller than the sum of its proper divisors (2830487300).

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

2111300200 is a wasteful number, since it uses less digits than its factorization.

2111300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71014 (or 71005 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2111300200 is about 45948.8868200308. The cubic root of 2111300200 is about 1282.8720097455.

Adding to 2111300200 its reverse (20031112), we get a palindrome (2131331312).

The spelling of 2111300200 in words is "two billion, one hundred eleven million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 200 298 596 745 1192 1490 2980 3725 5960 7450 14900 29800 70849 141698 283396 354245 566792 708490 1416980 1771225 2833960 3542450 7084900 10556501 14169800 21113002 42226004 52782505 84452008 105565010 211130020 263912525 422260040 527825050 1055650100 2111300200