Search a number
-
+
10010220220001 = 23241334578493
BaseRepresentation
bin1001000110101010111110…
…0111101100111001100001
31022102222010110101020000002
42101222233213230321201
52303001412334020001
633142344235505345
72052133405650131
oct221525747547141
938388113336002
1010010220220001
11320a346391631
12115806a5b8255
13577c6265c591
142686d6618ac1
151255c730146b
hex91aaf9ece61

10010220220001 has 12 divisors (see below), whose sum is σ = 10466904290388. Its totient is φ = 9572674445664.

The previous prime is 10010220219997. The next prime is 10010220220009. The reversal of 10010220220001 is 10002202201001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5803044920401 + 4207175299600 = 2408951^2 + 2051140^2 .

It is not a de Polignac number, because 10010220220001 - 22 = 10010220219997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010220220009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102890 + ... + 4475603.

It is an arithmetic number, because the mean of its divisors is an integer number (872242024199).

Almost surely, 210010220220001 is an apocalyptic number.

It is an amenable number.

10010220220001 is a deficient number, since it is larger than the sum of its proper divisors (456684070387).

10010220220001 is an equidigital number, since it uses as much as digits as its factorization.

10010220220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582672 (or 4582649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10010220220001 its reverse (10002202201001), we get a palindrome (20012422421002).

The spelling of 10010220220001 in words is "ten trillion, ten billion, two hundred twenty million, two hundred twenty thousand, one".

Divisors: 1 23 529 4133 95059 2186357 4578493 105305339 2422022797 18922911569 435226966087 10010220220001