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12301102112 = 251382136017
BaseRepresentation
bin10110111010011001…
…11110110000100000
31011202021200201210112
423131030332300200
5200143040231422
65352343150452
7613555433315
oct133514766040
934667621715
1012301102112
1152427190a2
122473745428
13121065a160
148499dad0c
154bedeaee2
hex2dd33ec20

12301102112 has 48 divisors (see below), whose sum is σ = 26113194072. Its totient is φ = 5670359040.

The previous prime is 12301102111. The next prime is 12301102117. The reversal of 12301102112 is 21120110321.

12301102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7237925776 + 5063176336 = 85076^2 + 71156^2 .

It is a super-2 number, since 2×123011021122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12301102111) 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 7 ways as a sum of consecutive naturals, for example, 323528 + ... + 359544.

Almost surely, 212301102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12301102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056597036).

12301102112 is an abundant number, since it is smaller than the sum of its proper divisors (13812091960).

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

12301102112 is a wasteful number, since it uses less digits than its factorization.

12301102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36861 (or 36853 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12301102112 its reverse (21120110321), we get a palindrome (33421212433).

The spelling of 12301102112 in words is "twelve billion, three hundred one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 821 1642 3284 6568 10673 13136 21346 26272 36017 42692 72034 85384 144068 170768 288136 341536 468221 576272 936442 1152544 1872884 3745768 7491536 14983072 29569957 59139914 118279828 236559656 384409441 473119312 768818882 946238624 1537637764 3075275528 6150551056 12301102112