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12323065800 = 2335243147653
BaseRepresentation
bin10110111101000001…
…10000111111001000
31011210211000121022110
423132200300333020
5200214201101200
65354450022320
7614243221353
oct133640607710
934724017273
1012323065800
11525405a801
12247ab779a0
13121507a316
1484c8b729a
154c1cd8b50
hex2de830fc8

12323065800 has 96 divisors (see below), whose sum is σ = 38290942080. Its totient is φ = 3278457600.

The previous prime is 12323065793. The next prime is 12323065813. The reversal of 12323065800 is 856032321.

12323065800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123230658002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 234774 + ... + 282426.

It is an arithmetic number, because the mean of its divisors is an integer number (398863980).

Almost surely, 212323065800 is an apocalyptic number.

12323065800 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 12323065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145471040).

12323065800 is an abundant number, since it is smaller than the sum of its proper divisors (25967876280).

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

12323065800 is a wasteful number, since it uses less digits than its factorization.

12323065800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48103 (or 48094 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 12323065800 in words is "twelve billion, three hundred twenty-three million, sixty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 431 600 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 10775 12930 17240 21550 25860 32325 43100 47653 51720 64650 86200 95306 129300 142959 190612 238265 258600 285918 381224 476530 571836 714795 953060 1143672 1191325 1429590 1906120 2382650 2859180 3573975 4765300 5718360 7147950 9530600 14295900 20538443 28591800 41076886 61615329 82153772 102692215 123230658 164307544 205384430 246461316 308076645 410768860 492922632 513461075 616153290 821537720 1026922150 1232306580 1540383225 2053844300 2464613160 3080766450 4107688600 6161532900 12323065800