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11220010101 = 321246667789
BaseRepresentation
bin10100111001100001…
…11100010001110101
31001221221102120100200
422130300330101311
5140434310310401
65053203431113
7545020340466
oct123460742165
931857376320
1011220010101
114838448723
122211685499
13109a699841
147861c0d6d
1545a04c686
hex29cc3c475

11220010101 has 6 divisors (see below), whose sum is σ = 16206681270. Its totient is φ = 7480006728.

The previous prime is 11220010027. The next prime is 11220010163. The reversal of 11220010101 is 10101002211.

It is a happy number.

11220010101 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., 11208456900 + 11553201 = 105870^2 + 3399^2 .

It is not a de Polignac number, because 11220010101 - 210 = 11220009077 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: 1246667789 = 11220010101 / (1 + 1 + 2 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220010001) 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, 623333886 + ... + 623333903.

It is an arithmetic number, because the mean of its divisors is an integer number (2701113545).

Almost surely, 211220010101 is an apocalyptic number.

It is an amenable number.

11220010101 is a deficient number, since it is larger than the sum of its proper divisors (4986671169).

11220010101 is a wasteful number, since it uses less digits than its factorization.

11220010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246667795 (or 1246667792 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11220010101 its reverse (10101002211), we get a palindrome (21321012312).

The spelling of 11220010101 in words is "eleven billion, two hundred twenty million, ten thousand, one hundred one".

Divisors: 1 3 9 1246667789 3740003367 11220010101