Search a number
-
+
2100211012 = 221601327953
BaseRepresentation
bin111110100101110…
…1010110101000100
312102100220202220001
41331023222311010
513300123223022
6544222451044
7103021333114
oct17513526504
95370822801
102100211012
11988572689
124a7433a84
13276162c13
1415cd03044
15c45a9b27
hex7d2ead44

2100211012 has 12 divisors (see below), whose sum is σ = 3677676156. Its totient is φ = 1049446400.

The previous prime is 2100211007. The next prime is 2100211013. The reversal of 2100211012 is 2101120012.

It can be written as a sum of positive squares in 2 ways, for example, as 2051546436 + 48664576 = 45294^2 + 6976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2100211012.

It is not an unprimeable number, because it can be changed into a prime (2100211013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 157573 + ... + 170380.

It is an arithmetic number, because the mean of its divisors is an integer number (306473013).

Almost surely, 22100211012 is an apocalyptic number.

It is an amenable number.

2100211012 is a deficient number, since it is larger than the sum of its proper divisors (1577465144).

2100211012 is a wasteful number, since it uses less digits than its factorization.

2100211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329558 (or 329556 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100211012 is about 45828.0592213984. The cubic root of 2100211012 is about 1280.6220552289.

Adding to 2100211012 its reverse (2101120012), we get a palindrome (4201331024).

The spelling of 2100211012 in words is "two billion, one hundred million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 1601 3202 6404 327953 655906 1311812 525052753 1050105506 2100211012