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12122200100 = 2252294180069
BaseRepresentation
bin10110100101000101…
…00001100000100100
31011021211001120101002
423102202201200210
5144311240400400
65322512452432
7606254000153
oct132242414044
934254046332
1012122200100
11516073639a
12242384a118
1311b257bc8a
1482dd4b59a
154ae35ced5
hex2d28a1824

12122200100 has 36 divisors (see below), whose sum is σ = 27212255700. Its totient is φ = 4681676160.

The previous prime is 12122200087. The next prime is 12122200141. The reversal of 12122200100 is 100222121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5914624 + 12116285476 = 2432^2 + 110074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2087135 + ... + 2092934.

Almost surely, 212122200100 is an apocalyptic number.

12122200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122200100 is an abundant number, since it is smaller than the sum of its proper divisors (15090055600).

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

12122200100 is a wasteful number, since it uses less digits than its factorization.

12122200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180112 (or 4180105 counting only the distinct ones).

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

Adding to 12122200100 its reverse (100222121), we get a palindrome (12222422221).

The spelling of 12122200100 in words is "twelve billion, one hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4180069 8360138 16720276 20900345 41800690 83601380 104501725 121222001 209003450 242444002 418006900 484888004 606110005 1212220010 2424440020 3030550025 6061100050 12122200100