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12301231300032 = 263794283189353
BaseRepresentation
bin1011001100000001101010…
…0001011001110111000000
31121112222121221220122122110
42303000122201121313000
53103020410203100112
642055035130135320
72406506656555023
oct263003241316700
947488557818573
1012301231300032
113a12a17416034
121468089581540
136b300265159c
1430755047b1ba
15164eb374e13c
hexb301a859dc0

12301231300032 has 112 divisors (see below), whose sum is σ = 32966864663040. Its totient is φ = 4047539877888.

The previous prime is 12301231299967. The next prime is 12301231300037. The reversal of 12301231300032 is 23000313210321.

It is a junction number, because it is equal to n+sod(n) for n = 12301231299981 and 12301231300008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301231300037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64869868 + ... + 65059220.

It is an arithmetic number, because the mean of its divisors is an integer number (294347005920).

Almost surely, 212301231300032 is an apocalyptic number.

12301231300032 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 12301231300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483432331520).

12301231300032 is an abundant number, since it is smaller than the sum of its proper divisors (20665633363008).

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

12301231300032 is a wasteful number, since it uses less digits than its factorization.

12301231300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193730 (or 193720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12301231300032 its reverse (23000313210321), we get a palindrome (35301544510353).

The spelling of 12301231300032 in words is "twelve trillion, three hundred one billion, two hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 4283 5056 7584 8566 12849 15168 17132 25698 34264 51396 68528 102792 137056 189353 205584 274112 338357 378706 411168 568059 676714 757412 822336 1015071 1136118 1353428 1514824 2030142 2272236 2706856 3029648 4060284 4544472 5413712 6059296 8120568 9088944 10827424 12118592 14958887 16241136 18177888 21654848 29917774 32482272 36355776 44876661 59835548 64964544 89753322 119671096 179506644 239342192 359013288 478684384 718026576 810998899 957368768 1436053152 1621997798 2432996697 2872106304 3243995596 4865993394 6487991192 9731986788 12975982384 19463973576 25951964768 38927947152 51903929536 64068913021 77855894304 128137826042 155711788608 192206739063 256275652084 384413478126 512551304168 768826956252 1025102608336 1537653912504 2050205216672 3075307825008 4100410433344 6150615650016 12301231300032