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12301131312 = 243328474841
BaseRepresentation
bin10110111010011010…
…00101111000110000
31011202021202012212000
423131031011320300
5200143042200222
65352343534000
7613555614411
oct133515057060
934667665760
1012301131312
115242739028
12247375a300
13121066a532
14849a07808
154bee049ac
hex2dd345e30

12301131312 has 40 divisors (see below), whose sum is σ = 35308804080. Its totient is φ = 4100376960.

The previous prime is 12301131251. The next prime is 12301131319. The reversal of 12301131312 is 21313110321.

12301131312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12301131319) 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, 14236989 + ... + 14237852.

It is an arithmetic number, because the mean of its divisors is an integer number (882720102).

Almost surely, 212301131312 is an apocalyptic number.

12301131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12301131312 is an abundant number, since it is smaller than the sum of its proper divisors (23007672768).

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

12301131312 is a wasteful number, since it uses less digits than its factorization.

12301131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28474858 (or 28474846 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12301131312 its reverse (21313110321), we get a palindrome (33614241633).

The spelling of 12301131312 in words is "twelve billion, three hundred one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 28474841 56949682 85424523 113899364 170849046 227798728 256273569 341698092 455597456 512547138 683396184 768820707 1025094276 1366792368 1537641414 2050188552 3075282828 4100377104 6150565656 12301131312