Search a number
-
+
11220330121 = 7211213149977
BaseRepresentation
bin10100111001100100…
…01010011010001001
31001221222000211100021
422130302022122021
5140434401030441
65053214340441
7545023142500
oct123462123211
931858024307
1011220330121
114838647100
1222117ba721
13109a77c3c0
14786265837
1545a0b23d1
hex29cc8a689

11220330121 has 72 divisors (see below), whose sum is σ = 15569857800. Its totient is φ = 8008197120.

The previous prime is 11220330119. The next prime is 11220330127. The reversal of 11220330121 is 12103302211.

It can be written as a sum of positive squares in 4 ways, for example, as 653518096 + 10566812025 = 25564^2 + 102795^2 .

It is not a de Polignac number, because 11220330121 - 21 = 11220330119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220330095 and 11220330104.

It is not an unprimeable number, because it can be changed into a prime (11220330127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11483985 + ... + 11484961.

It is an arithmetic number, because the mean of its divisors is an integer number (216248025).

Almost surely, 211220330121 is an apocalyptic number.

11220330121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220330121 is a deficient number, since it is larger than the sum of its proper divisors (4349527679).

11220330121 is a wasteful number, since it uses less digits than its factorization.

11220330121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11220330121 its reverse (12103302211), we get a palindrome (23323632332).

The spelling of 11220330121 in words is "eleven billion, two hundred twenty million, three hundred thirty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 121 143 149 539 637 847 977 1001 1043 1573 1639 1937 5929 6839 7007 7301 10747 11011 11473 12701 13559 18029 21307 47873 75229 77077 80311 88907 94913 118217 126203 139711 145573 149149 234377 526603 622349 827519 883421 977977 1019011 1044043 1536821 1601303 1640639 1892449 5792633 6845839 7133077 10757747 11209121 11484473 13247143 17614333 20816939 75304229 78463847 92730001 123300331 145718573 228986329 863102317 1020030011 1602904303 11220330121