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12224141991 = 3231213110789
BaseRepresentation
bin10110110001001110…
…11001101010100111
31011112220212202100200
423120213121222213
5200013340020431
65340553441543
7611632330635
oct133047315247
934486782320
1012224141991
115203233896
122451a102b3
1311ca722619
1483d6c6355
154b8297ee6
hex2d89d9aa7

12224141991 has 36 divisors (see below), whose sum is σ = 18386030520. Its totient is φ = 7825615200.

The previous prime is 12224141981. The next prime is 12224142001. The reversal of 12224141991 is 19914142221.

12224141991 is a `hidden beast` number, since 1 + 222 + 414 + 19 + 9 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (12224141981) and next prime (12224142001).

It is not a de Polignac number, because 12224141991 - 27 = 12224141863 is a prime.

It is a super-2 number, since 2×122241419912 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224141921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127625 + ... + 1138413.

It is an arithmetic number, because the mean of its divisors is an integer number (510723070).

Almost surely, 212224141991 is an apocalyptic number.

12224141991 is a deficient number, since it is larger than the sum of its proper divisors (6161888529).

12224141991 is a wasteful number, since it uses less digits than its factorization.

12224141991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10954 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The spelling of 12224141991 in words is "twelve billion, two hundred twenty-four million, one hundred forty-one thousand, nine hundred ninety-one".

Divisors: 1 3 9 31 93 131 279 393 961 1179 2883 4061 8649 10789 12183 32367 36549 97101 125891 334459 377673 1003377 1133019 1413359 3010131 4240077 10368229 12720231 31104687 43814129 93314061 131442387 394327161 1358237999 4074713997 12224141991