Search a number
-
+
12221211100 = 2252717458873
BaseRepresentation
bin10110110000111000…
…01110000111011100
31011112201100211221011
423120130032013130
5200012112223400
65340410545004
7611565403030
oct133034160734
934481324834
1012221211100
11520161186a
122450a38164
1311c9c37577
1483d1621c0
154b7db98ba
hex2d870e1dc

12221211100 has 36 divisors (see below), whose sum is σ = 30308605264. Its totient is φ = 4190129280.

The previous prime is 12221211091. The next prime is 12221211109. The reversal of 12221211100 is 111212221.

12221211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12221211091) and next prime (12221211109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221211109) 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 11 ways as a sum of consecutive naturals, for example, 8728737 + ... + 8730136.

Almost surely, 212221211100 is an apocalyptic number.

12221211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221211100 is an abundant number, since it is smaller than the sum of its proper divisors (18087394164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221211100 is a wasteful number, since it uses less digits than its factorization.

12221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17458894 (or 17458887 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12221211100 its reverse (111212221), we get a palindrome (12332423321).

It can be divided in two parts, 1222121 and 1100, that added together give a palindrome (1223221).

The spelling of 12221211100 in words is "twelve billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 17458873 34917746 69835492 87294365 122212111 174588730 244424222 349177460 436471825 488848444 611060555 872943650 1222121110 1745887300 2444242220 3055302775 6110605550 12221211100