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1003323040000 = 28546270769
BaseRepresentation
bin11101001100110101011…
…01101010000100000000
310112220202022022100101121
432212122231222010000
5112414301144240000
62044530434442024
7132326165061211
oct16463255520400
93486668270347
101003323040000
11357563777046
1214254aa33314
13737c7886bb8
14367bd8dd408
151b17336ab1a
hexe99ab6a100

1003323040000 has 90 divisors (see below), whose sum is σ = 2502607870070. Its totient is φ = 401329152000.

The previous prime is 1003323039977. The next prime is 1003323040007. The reversal of 1003323040000 is 403233001.

It can be written as a sum of positive squares in 5 ways, for example, as 419675934976 + 583647105024 = 647824^2 + 763968^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1003323040007) 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 9 ways as a sum of consecutive naturals, for example, 2975385 + ... + 3295384.

Almost surely, 21003323040000 is an apocalyptic number.

1003323040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003323040000 is an abundant number, since it is smaller than the sum of its proper divisors (1499284830070).

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

1003323040000 is an frugal number, since it uses more digits than its factorization.

1003323040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270805 (or 6270776 counting only the distinct ones).

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

Adding to 1003323040000 its reverse (403233001), we get a palindrome (1003726273001).

The spelling of 1003323040000 in words is "one trillion, three billion, three hundred twenty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 6270769 12541538 25083076 31353845 50166152 62707690 100332304 125415380 156769225 200664608 250830760 313538450 401329216 501661520 627076900 783846125 802658432 1003323040 1254153800 1567692250 1605316864 2006646080 2508307600 3135384500 3919230625 4013292160 5016615200 6270769000 7838461250 8026584320 10033230400 12541538000 15676922500 20066460800 25083076000 31353845000 40132921600 50166152000 62707690000 100332304000 125415380000 200664608000 250830760000 501661520000 1003323040000