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12312144141 = 3111721946781
BaseRepresentation
bin10110111011101110…
…00110100100001101
31011210001110201121120
423131313012210031
5200203402103031
65353415551153
7614051332653
oct133567064415
934701421546
1012312144141
115248980140
12247738b4b9
131212a250bb
1484b272dd3
154c0d7ca96
hex2dddc690d

12312144141 has 16 divisors (see below), whose sum is σ = 18962019648. Its totient is φ = 7022969600.

The previous prime is 12312144127. The next prime is 12312144179. The reversal of 12312144141 is 14144121321.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12312144141 - 214 = 12312127757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312144121) 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 15 ways as a sum of consecutive naturals, for example, 10972830 + ... + 10973951.

It is an arithmetic number, because the mean of its divisors is an integer number (1185126228).

Almost surely, 212312144141 is an apocalyptic number.

12312144141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12312144141 is a deficient number, since it is larger than the sum of its proper divisors (6649875507).

12312144141 is a wasteful number, since it uses less digits than its factorization.

12312144141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21946812.

The product of its digits is 768, while the sum is 24.

Adding to 12312144141 its reverse (14144121321), we get a palindrome (26456265462).

The spelling of 12312144141 in words is "twelve billion, three hundred twelve million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 21946781 65840343 241414591 373095277 724243773 1119285831 4104048047 12312144141