Search a number
-
+
2010310100 = 225220103101
BaseRepresentation
bin111011111010010…
…1110010111010100
312012002202100000122
41313310232113110
513104114410400
6531251531112
7100550232251
oct16764562724
95162670018
102010310100
11941849807
124812b9a98
13260647106
14150dc0428
15bb74c685
hex77d2e5d4

2010310100 has 18 divisors (see below), whose sum is σ = 4362373134. Its totient is φ = 804124000.

The previous prime is 2010310097. The next prime is 2010310177. The reversal of 2010310100 is 10130102.

It can be written as a sum of positive squares in 3 ways, for example, as 219158416 + 1791151684 = 14804^2 + 42322^2 .

It is a super-4 number, since 4×20103101004 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 10051451 + ... + 10051650.

It is an arithmetic number, because the mean of its divisors is an integer number (242354063).

Almost surely, 22010310100 is an apocalyptic number.

2010310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010310100 is an abundant number, since it is smaller than the sum of its proper divisors (2352063034).

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

2010310100 is a wasteful number, since it uses less digits than its factorization.

2010310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20103115 (or 20103108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 2010310100 is about 44836.4817977504. The cubic root of 2010310100 is about 1262.0823256463.

Adding to 2010310100 its reverse (10130102), we get a palindrome (2020440202).

It can be divided in two parts, 20103 and 10100, that added together give a palindrome (30203).

The spelling of 2010310100 in words is "two billion, ten million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20103101 40206202 80412404 100515505 201031010 402062020 502577525 1005155050 2010310100