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12301005300 = 22352179397577
BaseRepresentation
bin10110111010011001…
…00111000111110100
31011202021111210222220
423131030213013310
5200143024132200
65352341122340
7613554551133
oct133514470764
934667453886
1012301005300
115242662391
1224736b93b0
13121062507c
148499b391a
154bedcc4a0
hex2dd3271f4

12301005300 has 144 divisors (see below), whose sum is σ = 35942074560. Its totient is φ = 3248087040.

The previous prime is 12301005293. The next prime is 12301005307. The reversal of 12301005300 is 350010321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12301005293) and next prime (12301005307).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12301005300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301005307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21318612 + ... + 21319188.

It is an arithmetic number, because the mean of its divisors is an integer number (249597740).

Almost surely, 212301005300 is an apocalyptic number.

12301005300 is a gapful number since it is divisible by the number (10) 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 12301005300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971037280).

12301005300 is an abundant number, since it is smaller than the sum of its proper divisors (23641069260).

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

12301005300 is a wasteful number, since it uses less digits than its factorization.

12301005300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 12301005300 its reverse (350010321), we get a palindrome (12651015621).

The spelling of 12301005300 in words is "twelve billion, three hundred one million, five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 397 537 577 716 794 895 1074 1154 1191 1588 1731 1790 1985 2148 2308 2382 2685 2885 3462 3580 3970 4475 4764 5370 5770 5955 6924 7940 8655 8950 9925 10740 11540 11910 13425 14425 17310 17900 19850 23820 26850 28850 29775 34620 39700 43275 53700 57700 59550 71063 86550 103283 119100 142126 173100 206566 213189 229069 284252 309849 355315 413132 426378 458138 516415 619698 687207 710630 852756 916276 1032830 1065945 1145345 1239396 1374414 1421260 1549245 1776575 2065660 2131890 2290690 2582075 2748828 3098490 3436035 3553150 4263780 4581380 5164150 5329725 5726725 6196980 6872070 7106300 7746225 10328300 10659450 11453450 13744140 15492450 17180175 21318900 22906900 30984900 34360350 41003351 68720700 82006702 123010053 164013404 205016755 246020106 410033510 492040212 615050265 820067020 1025083775 1230100530 2050167550 2460201060 3075251325 4100335100 6150502650 12301005300