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1023300305000 = 2354375531353
BaseRepresentation
bin11101110010000010111…
…00111000000001101000
310121211022120001120002022
432321001130320001220
5113231204334230000
62102033032524012
7133634223035261
oct16710134700150
93554276046068
101023300305000
11364a85387a06
121463a5250608
137565c63156c
1437756b87968
151b9420e5585
hexee41738068

1023300305000 has 80 divisors (see below), whose sum is σ = 2462392860180. Its totient is φ = 398257344000.

The previous prime is 1023300304927. The next prime is 1023300305003. The reversal of 1023300305000 is 5030033201.

It can be written as a sum of positive squares in 10 ways, for example, as 21775724356 + 1001524580644 = 147566^2 + 1000762^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1023300305000.

It is not an unprimeable number, because it can be changed into a prime (1023300305003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2580677 + ... + 2950676.

Almost surely, 21023300305000 is an apocalyptic number.

1023300305000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023300305000 is an abundant number, since it is smaller than the sum of its proper divisors (1439092555180).

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

1023300305000 is an equidigital number, since it uses as much as digits as its factorization.

1023300305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531416 (or 5531397 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

Adding to 1023300305000 its reverse (5030033201), we get a palindrome (1028330338201).

The spelling of 1023300305000 in words is "one trillion, twenty-three billion, three hundred million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 625 740 925 1000 1250 1480 1850 2500 3700 4625 5000 7400 9250 18500 23125 37000 46250 92500 185000 5531353 11062706 22125412 27656765 44250824 55313530 110627060 138283825 204660061 221254120 276567650 409320122 553135300 691419125 818640244 1023300305 1106270600 1382838250 1637280488 2046600610 2765676500 3457095625 4093201220 5116501525 5531353000 6914191250 8186402440 10233003050 13828382500 20466006100 25582507625 27656765000 40932012200 51165015250 102330030500 127912538125 204660061000 255825076250 511650152500 1023300305000