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12222100100 = 2252717460143
BaseRepresentation
bin10110110000111111…
…00111001010000100
31011112210001000102002
423120133213022010
5200012324200400
65340442004432
7611606064620
oct133037471204
934483030362
1012222100100
115202069781
1224511a6718
1311ca1890c2
1483d314180
154b7ee2ed5
hex2d87e7284

12222100100 has 36 divisors (see below), whose sum is σ = 30310809984. Its totient is φ = 4190434080.

The previous prime is 12222100097. The next prime is 12222100103. The reversal of 12222100100 is 100122221.

It is a happy number.

12222100100 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 (12222100097) and next prime (12222100103).

It is not an unprimeable number, because it can be changed into a prime (12222100103) 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, 8729372 + ... + 8730771.

It is an arithmetic number, because the mean of its divisors is an integer number (841966944).

Almost surely, 212222100100 is an apocalyptic number.

12222100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222100100 is an abundant number, since it is smaller than the sum of its proper divisors (18088709884).

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

12222100100 is a wasteful number, since it uses less digits than its factorization.

12222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17460164 (or 17460157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12222100100 its reverse (100122221), we get a palindrome (12322222321).

The spelling of 12222100100 in words is "twelve billion, two hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 17460143 34920286 69840572 87300715 122221001 174601430 244442002 349202860 436503575 488884004 611105005 873007150 1222210010 1746014300 2444420020 3055525025 6111050050 12222100100