Search a number
-
+
11220020001 = 321246668889
BaseRepresentation
bin10100111001100001…
…11110101100100001
31001221221110001221100
422130300332230201
5140434311120001
65053203545013
7545020411401
oct123460765441
931857401840
1011220020001
114838455103
12221168b169
13109a6a11b8
147861c4801
1545a050586
hex29cc3eb21

11220020001 has 6 divisors (see below), whose sum is σ = 16206695570. Its totient is φ = 7480013328.

The previous prime is 11220019981. The next prime is 11220020003. The reversal of 11220020001 is 10002002211.

11220020001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11067250401 + 152769600 = 105201^2 + 12360^2 .

It is not a de Polignac number, because 11220020001 - 25 = 11220019969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1246668889 = 11220020001 / (1 + 1 + 2 + 2 + 0 + 0 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11220020003) 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 5 ways as a sum of consecutive naturals, for example, 623334436 + ... + 623334453.

Almost surely, 211220020001 is an apocalyptic number.

It is an amenable number.

11220020001 is a deficient number, since it is larger than the sum of its proper divisors (4986675569).

11220020001 is a wasteful number, since it uses less digits than its factorization.

11220020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246668895 (or 1246668892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11220020001 its reverse (10002002211), we get a palindrome (21222022212).

The spelling of 11220020001 in words is "eleven billion, two hundred twenty million, twenty thousand, one".

Divisors: 1 3 9 1246668889 3740006667 11220020001