Search a number
-
+
12200110011 = 3237136726801
BaseRepresentation
bin10110101110010111…
…01110011110111011
31011111020122210200100
423113023232132323
5144441212010021
65334334410443
7611221136565
oct132713563673
934436583610
1012200110011
1151a070a251
122445960a23
1311c5759c0b
1483a42c335
154b60ec626
hex2d72ee7bb

12200110011 has 24 divisors (see below), whose sum is σ = 18112577184. Its totient is φ = 7907500800.

The previous prime is 12200110009. The next prime is 12200110033. The reversal of 12200110011 is 11001100221.

It is a happy number.

It is not a de Polignac number, because 12200110011 - 21 = 12200110009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

12200110011 is a modest number, since divided by 110011 gives 122 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 12200109975 and 12200110002.

It is not an unprimeable number, because it can be changed into a prime (12200112011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441811 + ... + 468611.

It is an arithmetic number, because the mean of its divisors is an integer number (754690716).

Almost surely, 212200110011 is an apocalyptic number.

12200110011 is a deficient number, since it is larger than the sum of its proper divisors (5912467173).

12200110011 is a wasteful number, since it uses less digits than its factorization.

12200110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28211 (or 28208 counting only the distinct ones).

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

Adding to 12200110011 its reverse (11001100221), we get a palindrome (23201210232).

The spelling of 12200110011 in words is "twelve billion, two hundred million, one hundred ten thousand, eleven".

Divisors: 1 3 9 37 111 333 1367 4101 12303 26801 50579 80403 151737 241209 455211 991637 2974911 8924733 36636967 109910901 329732703 1355567779 4066703337 12200110011