Search a number
-
+
2210103202221 = 32298467828361
BaseRepresentation
bin100000001010010100011…
…010101001000110101101
321211021122220002101102100
4200022110122221012231
5242202242404432341
64411150221445313
7315450263154105
oct40122432510655
97737586071370
102210103202221
11782332705392
122b83bb110839
13130547a65bc5
1478d806ba205
153c7533e83b6
hex202946a91ad

2210103202221 has 12 divisors (see below), whose sum is σ = 3302453061180. Its totient is φ = 1422595164480.

The previous prime is 2210103202217. The next prime is 2210103202261. The reversal of 2210103202221 is 1222023010122.

2210103202221 is a `hidden beast` number, since 22 + 101 + 0 + 320 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1245710460996 + 964392741225 = 1116114^2 + 982035^2 .

It is not a de Polignac number, because 2210103202221 - 22 = 2210103202217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2210103202194 and 2210103202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210103202261) 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 11 ways as a sum of consecutive naturals, for example, 4233913920 + ... + 4233914441.

It is an arithmetic number, because the mean of its divisors is an integer number (275204421765).

Almost surely, 22210103202221 is an apocalyptic number.

It is an amenable number.

2210103202221 is a deficient number, since it is larger than the sum of its proper divisors (1092349858959).

2210103202221 is a wasteful number, since it uses less digits than its factorization.

2210103202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467828396 (or 8467828393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2210103202221 its reverse (1222023010122), we get a palindrome (3432126212343).

The spelling of 2210103202221 in words is "two trillion, two hundred ten billion, one hundred three million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 29 87 261 8467828361 25403485083 76210455249 245567022469 736701067407 2210103202221