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12323233320 = 2335293795707
BaseRepresentation
bin10110111101000010…
…11001111000101000
31011210211100010002220
423132201121320220
5200214221431240
65354453354040
7614244516636
oct133641317050
934724303086
1012323233320
115254164652
12247b038920
131215108648
1484c91c356
154c1d1d5d0
hex2de859e28

12323233320 has 128 divisors (see below), whose sum is σ = 39278563200. Its totient is φ = 3087092736.

The previous prime is 12323233271. The next prime is 12323233331. The reversal of 12323233320 is 2333232321.

12323233320 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 (24).

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 31 ways as a sum of consecutive naturals, for example, 80907 + ... + 176613.

It is an arithmetic number, because the mean of its divisors is an integer number (306863775).

Almost surely, 212323233320 is an apocalyptic number.

12323233320 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 12323233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639281600).

12323233320 is an abundant number, since it is smaller than the sum of its proper divisors (26955329880).

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

12323233320 is a wasteful number, since it uses less digits than its factorization.

12323233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95787 (or 95783 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12323233320 its reverse (2333232321), we get a palindrome (14656465641).

Subtracting from 12323233320 its reverse (2333232321), we obtain a palindrome (9990000999).

The spelling of 12323233320 in words is "twelve billion, three hundred twenty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 58 60 74 87 111 116 120 145 148 174 185 222 232 290 296 348 370 435 444 555 580 696 740 870 888 1073 1110 1160 1480 1740 2146 2220 3219 3480 4292 4440 5365 6438 8584 10730 12876 16095 21460 25752 32190 42920 64380 95707 128760 191414 287121 382828 478535 574242 765656 957070 1148484 1435605 1914140 2296968 2775503 2871210 3541159 3828280 5551006 5742420 7082318 8326509 10623477 11102012 11484840 13877515 14164636 16653018 17705795 21246954 22204024 27755030 28329272 33306036 35411590 41632545 42493908 53117385 55510060 66612072 70823180 83265090 84987816 102693611 106234770 111020120 141646360 166530180 205387222 212469540 308080833 333060360 410774444 424939080 513468055 616161666 821548888 1026936110 1232323332 1540404165 2053872220 2464646664 3080808330 4107744440 6161616660 12323233320