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123102302112 = 25323011141959
BaseRepresentation
bin111001010100101111…
…0000000111110100000
3102202202012200212221200
41302221132000332200
54004103142131422
6132315153321200
711615406205656
oct1625136007640
9382665625850
10123102302112
1148231049669
121ba36866200
13b7bab3a1aa
145d5b37cdd6
1533075062ac
hex1ca9780fa0

123102302112 has 72 divisors (see below), whose sum is σ = 350190902880. Its totient is φ = 41020183680.

The previous prime is 123102302077. The next prime is 123102302137. The reversal of 123102302112 is 211203201321.

123102302112 is a `hidden beast` number, since 12 + 310 + 230 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 796189 + ... + 938147.

It is an arithmetic number, because the mean of its divisors is an integer number (4863762540).

Almost surely, 2123102302112 is an apocalyptic number.

123102302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123102302112 is an abundant number, since it is smaller than the sum of its proper divisors (227088600768).

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

123102302112 is a wasteful number, since it uses less digits than its factorization.

123102302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144986 (or 144975 counting only the distinct ones).

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

Adding to 123102302112 its reverse (211203201321), we get a palindrome (334305503433).

The spelling of 123102302112 in words is "one hundred twenty-three billion, one hundred two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3011 6022 9033 12044 18066 24088 27099 36132 48176 54198 72264 96352 108396 141959 144528 216792 283918 289056 425877 433584 567836 851754 867168 1135672 1277631 1703508 2271344 2555262 3407016 4542688 5110524 6814032 10221048 13628064 20442096 40884192 427438549 854877098 1282315647 1709754196 2564631294 3419508392 3846946941 5129262588 6839016784 7693893882 10258525176 13678033568 15387787764 20517050352 30775575528 41034100704 61551151056 123102302112