Search a number
-
+
11220210019 = 412719911019
BaseRepresentation
bin10100111001100011…
…01101000101100011
31001221221210201121001
422130301231011203
5140434333210034
65053212012431
7545022132364
oct123461550543
931857721531
1011220210019
114838574947
122211761117
13109a739835
14786233b6b
1545a08ba14
hex29cc6d163

11220210019 has 16 divisors (see below), whose sum is σ = 11559260160. Its totient is φ = 10884456000.

The previous prime is 11220209993. The next prime is 11220210041. The reversal of 11220210019 is 91001202211.

It is a happy number.

11220210019 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11220210019 is a prime.

It is a super-2 number, since 2×112202100192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11220209978 and 11220210005.

It is not an unprimeable number, because it can be changed into a prime (11220210119) 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 15 ways as a sum of consecutive naturals, for example, 11010492 + ... + 11011510.

It is an arithmetic number, because the mean of its divisors is an integer number (722453760).

Almost surely, 211220210019 is an apocalyptic number.

11220210019 is a deficient number, since it is larger than the sum of its proper divisors (339050141).

11220210019 is a wasteful number, since it uses less digits than its factorization.

11220210019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322.

The product of its (nonzero) digits is 72, while the sum is 19.

It can be divided in two parts, 112202 and 10019, that added together give a palindrome (122221).

The spelling of 11220210019 in words is "eleven billion, two hundred twenty million, two hundred ten thousand, nineteen".

Divisors: 1 41 271 991 1019 11111 40631 41779 268561 276149 1009829 11011001 11322109 41402989 273663659 11220210019