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123102311112 = 233311226317909
BaseRepresentation
bin111001010100101111…
…0000011001011001000
3102202202012201100022000
41302221132003023020
54004103142423422
6132315153431000
711615406244134
oct1625136031310
9382665640260
10123102311112
1148231055400
121ba3686b460
13b7bab41311
145d5b3823c4
153307508cac
hex1ca97832c8

123102311112 has 192 divisors, whose sum is σ = 377313552000. Its totient is φ = 37159816320.

The previous prime is 123102311099. The next prime is 123102311179. The reversal of 123102311112 is 211113201321.

123102311112 is a `hidden beast` number, since 12 + 310 + 231 + 1 + 112 = 666.

It is a super-2 number, since 2×1231023111122 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6864814 + ... + 6882722.

It is an arithmetic number, because the mean of its divisors is an integer number (1965174750).

Almost surely, 2123102311112 is an apocalyptic number.

123102311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123102311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188656776000).

123102311112 is an abundant number, since it is smaller than the sum of its proper divisors (254211240888).

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

123102311112 is a wasteful number, since it uses less digits than its factorization.

123102311112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18209 (or 18188 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 123102311112 its reverse (211113201321), we get a palindrome (334215512433).

The spelling of 123102311112 in words is "one hundred twenty-three billion, one hundred two million, three hundred eleven thousand, one hundred twelve".