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2300122030300 = 22521713716360589
BaseRepresentation
bin100001011110001001111…
…101001110000011011100
322010220000110101122210221
4201132021331032003130
5300141122214432200
64520354513411124
7325115111446033
oct41361175160334
98126013348727
102300122030300
11807526a16276
12311942269aa4
13138b9274b053
147d47dcb971a
153ec7124391a
hex21789f4e0dc

2300122030300 has 144 divisors (see below), whose sum is σ = 5356191869280. Its totient is φ = 854319882240.

The previous prime is 2300122030279. The next prime is 2300122030307. The reversal of 2300122030300 is 30302210032.

2300122030300 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 2×23001220303002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300122030307) 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, 37932406 + ... + 37992994.

It is an arithmetic number, because the mean of its divisors is an integer number (37195776870).

Almost surely, 22300122030300 is an apocalyptic number.

2300122030300 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 2300122030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678095934640).

2300122030300 is an abundant number, since it is smaller than the sum of its proper divisors (3056069838980).

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

2300122030300 is a wasteful number, since it uses less digits than its factorization.

2300122030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60920 (or 60913 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 2300122030300 its reverse (30302210032), we get a palindrome (2330424240332).

The spelling of 2300122030300 in words is "two trillion, three hundred billion, one hundred twenty-two million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 137 163 170 274 326 340 425 548 652 685 815 850 1370 1630 1700 2329 2740 2771 3260 3425 4075 4658 5542 6850 8150 9316 11084 11645 13700 13855 16300 22331 23290 27710 44662 46580 55420 58225 60589 69275 89324 111655 116450 121178 138550 223310 232900 242356 277100 302945 379627 446620 558275 605890 759254 1030013 1116550 1211780 1514725 1518508 1898135 2060026 2233100 3029450 3796270 4120052 5150065 6058900 7592540 8300693 9490675 9876007 10300130 16601386 18981350 19752014 20600260 25750325 33202772 37962700 39504028 41503465 49380035 51500650 83006930 98760070 103001300 141111781 166013860 167892119 197520140 207517325 246900175 282223562 335784238 415034650 493800350 564447124 671568476 705558905 830069300 839460595 987600700 1353012959 1411117810 1678921190 2706025918 2822235620 3357842380 3527794525 4197302975 5412051836 6765064795 7055589050 8394605950 13530129590 14111178100 16789211900 23001220303 27060259180 33825323975 46002440606 67650647950 92004881212 115006101515 135301295900 230012203030 460024406060 575030507575 1150061015150 2300122030300