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2300310241024 = 2867733318289
BaseRepresentation
bin100001011110010101001…
…011001011111100000000
322010220111120112202101111
4201132111023023330000
5300142013410203044
64520425315413104
7325122555302245
oct41362513137400
98126446482344
102300310241024
11807613186824
123119952b4194
13138bc2738243
147d49acad5cc
153ec82a1eb34
hex217952cbf00

2300310241024 has 72 divisors (see below), whose sum is σ = 4661057107280. Its totient is φ = 1132772179968.

The previous prime is 2300310240967. The next prime is 2300310241079. The reversal of 2300310241024 is 4201420130032.

It is a junction number, because it is equal to n+sod(n) for n = 2300310240986 and 2300310241004.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125766472 + ... + 125784760.

Almost surely, 22300310241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300310241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330528553640).

2300310241024 is an abundant number, since it is smaller than the sum of its proper divisors (2360746866256).

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

2300310241024 is an equidigital number, since it uses as much as digits as its factorization.

2300310241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25705 (or 25691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2300310241024 its reverse (4201420130032), we get a palindrome (6501730371056).

The spelling of 2300310241024 in words is "two trillion, three hundred billion, three hundred ten million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 1072 2144 4288 7333 8576 14666 17152 18289 29332 36578 58664 73156 117328 146312 234656 292624 469312 491311 585248 938624 982622 1170496 1225363 1877248 1965244 2340992 2450726 3930488 4681984 4901452 7860976 9802904 15721952 19605808 31443904 39211616 62887808 78423232 125775616 134113237 156846464 268226474 313692928 536452948 1072905896 2145811792 4291623584 8583247168 8985586879 17166494336 17971173758 34332988672 35942347516 71884695032 143769390064 287538780128 575077560256 1150155120512 2300310241024