Search a number
-
+
11132120121 = 319557350629
BaseRepresentation
bin10100101111000011…
…01010110000111001
31001201211001021222020
422113201222300321
5140244310320441
65040343545053
7542602313463
oct122741526071
931654037866
1011132120121
1147a2878681
1221a815b189
131085406135
14778663133
1545248ae66
hex29786ac39

11132120121 has 16 divisors (see below), whose sum is σ = 15652123200. Its totient is φ = 7018170048.

The previous prime is 11132120113. The next prime is 11132120123. The reversal of 11132120121 is 12102123111.

11132120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11132120121 - 23 = 11132120113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11132120121.

It is not an unprimeable number, because it can be changed into a prime (11132120123) 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, 143566 + ... + 207063.

It is an arithmetic number, because the mean of its divisors is an integer number (978257700).

Almost surely, 211132120121 is an apocalyptic number.

It is an amenable number.

11132120121 is a deficient number, since it is larger than the sum of its proper divisors (4520003079).

11132120121 is a wasteful number, since it uses less digits than its factorization.

11132120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351208.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11132120121 its reverse (12102123111), we get a palindrome (23234243232).

The spelling of 11132120121 in words is "eleven billion, one hundred thirty-two million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 19 57 557 1671 10583 31749 350629 1051887 6661951 19985853 195300353 585901059 3710706707 11132120121