Search a number
-
+
2122101220 = 225106105061
BaseRepresentation
bin111111001111100…
…1011000111100100
312110220002220121111
41332133023013210
513321224214340
6550323554404
7103405364011
oct17637130744
95426086544
102122101220
11999964068
124b282ba04
1327a8587c5
14161ba0708
15c6480aea
hex7e7cb1e4

2122101220 has 12 divisors (see below), whose sum is σ = 4456412604. Its totient is φ = 848840480.

The previous prime is 2122101209. The next prime is 2122101257. The reversal of 2122101220 is 221012212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1224020196 + 898081024 = 34986^2 + 29968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2122101220.

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 3 ways as a sum of consecutive naturals, for example, 53052511 + ... + 53052550.

It is an arithmetic number, because the mean of its divisors is an integer number (371367717).

Almost surely, 22122101220 is an apocalyptic number.

2122101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122101220 is an abundant number, since it is smaller than the sum of its proper divisors (2334311384).

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

2122101220 is a wasteful number, since it uses less digits than its factorization.

2122101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106105070 (or 106105068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2122101220 is about 46066.2698728690. The cubic root of 2122101220 is about 1285.0559348239.

Adding to 2122101220 its reverse (221012212), we get a palindrome (2343113432).

The spelling of 2122101220 in words is "two billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 106105061 212210122 424420244 530525305 1061050610 2122101220