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12122230131 = 3211731677353
BaseRepresentation
bin10110100101000101…
…01000110101110011
31011021211010002120100
423102202220311303
5144311242331011
65322513243443
7606254153544
oct132242506563
934254102510
1012122230131
115160756a10
122423863583
1311b258c84b
1482dd584cb
154ae366d56
hex2d28a8d73

12122230131 has 24 divisors (see below), whose sum is σ = 19363374576. Its totient is φ = 7246160640.

The previous prime is 12122230121. The next prime is 12122230157. The reversal of 12122230131 is 13103222121.

12122230131 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 12122230131 - 218 = 12121967987 is a prime.

It is a super-2 number, since 2×121222301312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122230121) 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 23 ways as a sum of consecutive naturals, for example, 831450 + ... + 845903.

It is an arithmetic number, because the mean of its divisors is an integer number (806807274).

Almost surely, 212122230131 is an apocalyptic number.

12122230131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12122230131 is a deficient number, since it is larger than the sum of its proper divisors (7241144445).

12122230131 is a wasteful number, since it uses less digits than its factorization.

12122230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677443 (or 1677440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122230131 its reverse (13103222121), we get a palindrome (25225452252).

The spelling of 12122230131 in words is "twelve billion, one hundred twenty-two million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 1677353 5032059 15096177 18450883 55352649 122446769 166057947 367340307 1102020921 1346914459 4040743377 12122230131