Search a number
-
+
12201100311 = 317317717331
BaseRepresentation
bin10110101110011111…
…00000010000010111
31011111022112010010010
423113033200100113
5144441440202221
65334411531303
7611232433011
oct132717402027
934438463103
1012201100311
1151a1226284
122446159b33
1311c5a158aa
1483a6091b1
154b6245c76
hex2d73e0417

12201100311 has 16 divisors (see below), whose sum is σ = 17780732928. Its totient is φ = 7408636800.

The previous prime is 12201100309. The next prime is 12201100337. The reversal of 12201100311 is 11300110221.

12201100311 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 12201100311 - 21 = 12201100309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201100361) 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, 3857085 + ... + 3860246.

It is an arithmetic number, because the mean of its divisors is an integer number (1111295808).

Almost surely, 212201100311 is an apocalyptic number.

12201100311 is a deficient number, since it is larger than the sum of its proper divisors (5579632617).

12201100311 is a wasteful number, since it uses less digits than its factorization.

12201100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7717382.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12201100311 its reverse (11300110221), we get a palindrome (23501210532).

The spelling of 12201100311 in words is "twelve billion, two hundred one million, one hundred thousand, three hundred eleven".

Divisors: 1 3 17 31 51 93 527 1581 7717331 23151993 131194627 239237261 393583881 717711783 4067033437 12201100311