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23112120300 = 22352378532441
BaseRepresentation
bin10101100001100101…
…101111011111101100
32012122201112100201120
4111201211233133230
5334313200322200
614341220540540
71445511531633
oct254145573754
965581470646
1023112120300
11989020a075
124590251750
132244387639
14119375651a
159040aa9a0
hex56196f7ec

23112120300 has 144 divisors (see below), whose sum is σ = 68787076512. Its totient is φ = 5987174400.

The previous prime is 23112120289. The next prime is 23112120301. The reversal of 23112120300 is 302121132.

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 23112120300.

It is not an unprimeable number, because it can be changed into a prime (23112120301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9467080 + ... + 9469520.

Almost surely, 223112120300 is an apocalyptic number.

23112120300 is a gapful number since it is divisible by the number (20) 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 23112120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34393538256).

23112120300 is an abundant number, since it is smaller than the sum of its proper divisors (45674956212).

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

23112120300 is a wasteful number, since it uses less digits than its factorization.

23112120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23112120300 its reverse (302121132), we get a palindrome (23414241432).

The spelling of 23112120300 in words is "twenty-three billion, one hundred twelve million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 853 925 1110 1706 1850 2220 2441 2559 2775 3412 3700 4265 4882 5118 5550 7323 8530 9764 10236 11100 12205 12795 14646 17060 21325 24410 25590 29292 31561 36615 42650 48820 51180 61025 63122 63975 73230 85300 90317 94683 122050 126244 127950 146460 157805 180634 183075 189366 244100 255900 270951 315610 361268 366150 378732 451585 473415 541902 631220 732300 789025 903170 946830 1083804 1354755 1578050 1806340 1893660 2082173 2257925 2367075 2709510 3156100 4164346 4515850 4734150 5419020 6246519 6773775 8328692 9031700 9468300 10410865 12493038 13547550 20821730 24986076 27095100 31232595 41643460 52054325 62465190 77040401 104108650 124930380 154080802 156162975 208217300 231121203 308161604 312325950 385202005 462242406 624651900 770404010 924484812 1155606015 1540808020 1926010025 2311212030 3852020050 4622424060 5778030075 7704040100 11556060150 23112120300